Hisao Suzuki |

Faculty of Science Physics Nonlinear Physics |

Professor |

Last Updated :2019/10/03

- Professor

- hsuzuki@particle.sci.hokudai.ac.jp

- Science education/Educational technology / Science education
- Physics / Particle/Nuclear/Cosmic ray/Astro physics

- 2009/03 - Today Hokkaido UniversityProfessor
- 1995/10 - 2009/03 Hokkaido UniversityAssociate Professor
- 1988/10 - 1995/09 Osaka UniversityAssistant Professor
- 1990/10 - 1991/09 Harvard UniversityPost-doctoral Fellow

- 1983/04 - 1988/01 Nagoya University Graduate Course Department of Physics
- 1979/04 - 1983/03 Nagoya University Faculty of Science Department of Physics

**Tracking the pre-inflation era from density perturbation spectra**Tadashi Sasaki and Hisao SuzukiPhys. Rev. D 99 (063502) 1 - 7 2019/02 [Refereed][Not invited]

Research paper (scientific journal)**Exact solutions of primordial gravitational waves**Tadashi Sasaki and Hisao SuzukiProg. Theor. Exp. Phys. 113 (E03) 1 - 22 2018/11 [Refereed][Not invited]

Research paper (scientific journal)- Masahide Shimizu, Hisao SuzukiJHEP 1103:083,2011 2010/11 [Not refereed][Not invited]

Research paper (scientific journal)We investigate the open mirror symmetry of certain non-complete intersection Calabi- Yau 3-folds, so called pfaffian Calabi-Yau. We perform the prediction of the number of disk invariants of several examples by using the direct integration method proposed recently and the open mirror symmetry. We treat several pfaffian Calabi-Yau 3-folds in $\mathbb{P}^6$ and branes with two discrete vacua. Some models have the two special points in its moduli space, around both of which we can consider different A-model mirror partners. We compute disc invariants for both cases. This study is the first app... - Hiroyuki Fuji, Shinsaku Nakayama, Masahide Shimizu, Hisao Suzuki2010/11 [Not refereed][Not invited]

Research paper (scientific journal)We develop some computational methods for the integrals over the 3-chains on the compact Calabi-Yau 3-folds that plays a prominent role in the analysis of the topological B-model in the context of the open mirror symmetry. We discuss such 3-chain integrals in two approaches. In the first approach, we provide a systematic algorithm to obtain the inhomogeneous Picard-Fuchs equations. In the second approach, we discuss the analytic continuation of the period integral to compute the 3-chain integral directly. The latter direct integration method is applicable for both on-shell and off-shell for... - Sano Masakazu, Suzuki HisaoMeeting abstracts of the Physical Society of Japan 日本物理学会講演概要集 65 (1) 13428349 2010/03 [Not refereed][Not invited]
- Masakazu Sano, Hisao SuzukiPhys. Rev. D81: 024042, 2010 2009/07 [Not refereed][Not invited]

Research paper (scientific journal)We consider brane gas models based on type II string theories and analyze the mass, the Ramond-Ramond charge and the charge on moduli fluctuations of branes wrapping over cycles of a compactified space in the four-dimensional Einstein frame. A six-dimensional torus and Calabi-Yau threefolds are considered for the Kaluza-Klein reduction. A large volume of the compactified space and a weak string coupling gives rise to point particles of the wrapped branes which have a light mass and a small charge of the Ramond-Ramond flux and of the moduli fluctuations, while the particles become very heavy... - Sano M., Suzuki H.Meeting abstracts of the Physical Society of Japan Meeting abstracts of the Physical Society of Japan 64 (1) 13428349 2009/03 [Not refereed][Not invited]
- Journal of higher education and lifelong learning Journal of higher education and lifelong learning 0 (16) 1 - 17 13419374 2008/12 [Not refereed][Not invited]
- Sano M., Suzuki H.Meeting abstracts of the Physical Society of Japan Meeting abstracts of the Physical Society of Japan 63 (2) 13428349 2008/08 [Not refereed][Not invited]
- Masakazu Sano, Hisao SuzukiPhys.Rev.D78:064045,2008 2008/04 [Not refereed][Not invited]

Research paper (scientific journal)We consider a compactification with a six-dimensional torus in the type II brane gas models. We show that the dilaton and the scale of each cycle of the internal space are fixed in the presence of NS5-brane and Kaluza-Klein monopoles as well as D-branes with the gauge fields. We can construct various models that lead to fixed moduli by using T-duality transformations. - Sano Masakazu, Suzuki HisaoMeeting abstracts of the Physical Society of Japan Meeting abstracts of the Physical Society of Japan 63 (1) 13428349 2008/02 [Not refereed][Not invited]
- Journal of higher education and lifelong learning Journal of higher education and lifelong learning 0 (15) 191 - 196 13419374 2007/12 [Not refereed][Not invited]
- 22pZF-11 Integrable models of the higher dimensional cosmological spacetime with world volume actionSano Masakazu, Suzuki HisaoMeeting abstracts of the Physical Society of Japan 日本物理学会講演概要集 62 (2) 13428349 2007/08 [Not refereed][Not invited]

Research paper (scientific journal) - Masakazu Sano, Hisao SuzukiPhys.Rev.D76:064006,2007 2007/03 [Not refereed][Not invited]

Research paper (scientific journal)We consider the cosmological models for the higher dimensional spacetime which includes the curvatures of our space as well as the curvatures of the internal space. We find that the condition for the integrability of the cosmological equations is that the total space-time dimensions are D=10 or D=11 which is exactly the conditions for superstrings or M-theory. We obtain analytic solutions with generic initial conditions in the four dimensional Einstein frame and study the accelerating universe when both our space and the internal space have negative curvatures. - Hiroyuki Fuji, Shinsaku Nakayama, Hisao SuzukiJHEP 0701:011,2007 2006/09 [Not refereed][Not invited]

Research paper (scientific journal)Recently, Schnabl constructed the analytic solution of the open string tachyon. Subsequently, the absence of the physical states at the vacuum was proved. The development relies heavily on the use of the gauge condition different from the ordinary one. It was shown that the choice of gauge simplifies the analysis drastically. When we perform the calculation of the amplitudes in Schnabl gauge, we find that the off-shell amplitudes of the Schnabl gauge is still very complicated. In this paper, we propose the use of the propagator in the modified Schnabl gauge and show that this modified use o... - Suzuki Hisao, Hosokawa Toshiyuki, Yamada KunimasaJournal of higher education and lifelong learning Journal of higher education and lifelong learning 14 (0) 89 - 97 13419374 2006/07 [Not refereed][Not invited]
- Suzuki Hisao, Yamada Kunimasa, Maeda NobukiJournal of higher education and lifelong learning Journal of higher education and lifelong learning 14 (0) 83 - 88 13419374 2006/07 [Not refereed][Not invited]
- Suzuki Hisao, Hosokawa Toshiyuki, Onodera AkiraJournal of higher education and lifelong learning Journal of higher education and lifelong learning 13 (0) 21 - 28 13419374 2005/09 [Not refereed][Not invited]
- Suzuki Hisao, Hosokawa Toshiyuki, Onodera AkiraJournal of higher education and lifelong learning Journal of higher education and lifelong learning 13 (0) 15 - 20 13419374 2005/09 [Not refereed][Not invited]
- Hosokawa Toshiyuki, Onodera Akira, Suzuki Hisao0 (22) 88 - 89 2005/08 [Not refereed][Not invited]
- Hisao SuzukiJHEP 0303 (2003) 036 2002/12 [Not refereed][Not invited]

Research paper (scientific journal)We discuss how to obtain the superpotential of the baryons and mesons for SU(N) gauge theories with N flavour matter fields from matrix integral. We apply the mean-field approximation for the matrix integral. Assuming the planar limit of the self-consistency equation, we show that the result almost agrees with the field theoretical result. - Hisao Suzuki, Kunimasa YamadaPhys.Rev. D67 (2003) 065002 2002/11 [Not refereed][Not invited]

Research paper (scientific journal)We evaluate the decay rate of the uniformly accelerated proton. We obtain an analytic expression for inverse beta decay process caused by the acceleration. We evaluate the decay rate both from the inertial frame and from the accelerated frame where we should consider thermal radiation by Unruh effect. We explicitly check that the decay rates obtained in both frame coincide with each other. - Hisao SuzukiJHEP 0303:005,2003 2002/11 [Not refereed][Not invited]

Research paper (scientific journal)We derive the superpotential of gauge theories having matter fields in the fundamental representation of gauge fields by using the method of Dijkgraaf and Vafa. We treat the theories with one flavour and reproduce a well-known non-perturbative superpotential for meson field. - SUZUKI Hisao, TAKASUGI Eiichi, UMETSU HiroshiProgress of theoretical physics Progress of theoretical physics 103 (4) 723 - 731 0033-068X|1347-4081 2000/04 [Not refereed][Not invited]

By using an analytic solution of the Teukolsky, equation in the kerr-de Sitter and Kerr-Newman-de Sitter geometries, an analytic expression of the absorption rate formulae for these black holes is calculated. - SUZUKI Hisao, TAKASUGI Eiichi, UMETSU HiroshiProgress of theoretical physics Progress of theoretical physics 102 (2) 253 - 272 0033-068X|1347-4081 1999/08 [Not refereed][Not invited]

An analytic solution of the Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries is presented, and the properties of this solution are examined. In particular, we show that our solution satisfies the Teukolsky-Starobinsky identities explicitly and fix the relative normalization between solutions with spin weights s and -s. - Hisao Suzuki, Eiichi Takasugi, Hiroshi UmetsuProg.Theor.Phys. 102 (1999) 253-272 1999/05 [Not refereed][Not invited]

Research paper (scientific journal)The analytic solution of Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries is presented and the properties of the solution are examined. In particular, we show that our solution satisfies the Teukolsky-Starobinsky identities explicitly and fix the relative normalization between solutions with the spin weight $s$ and $-s$. - Suzuki Hisao, Takasugi Eiichi, Umetsu HiroshiMeeting abstracts of the Physical Society of Japan 日本物理学会講演概要集 54 (1) 13428349 1999/03 [Not refereed][Not invited]

Research paper (scientific journal) - SUZUKI Hisao, TAKASUGI Eiichi, UMETSU HiroshiProgress of theoretical physics Progress of theoretical physics 100 (3) 491 - 505 0033-068X|1347-4081 1998/09 [Not refereed][Not invited]

It is well known that the perturbation equations of massless fields for the Kerr-de Sitter geometry can be written in the form of separable equations. The equations have five definite singularities, so it has been thought that their analysis would be difficult. we show that these equations can be transformed into Heun's equations, for which we are able to use a known technique to analyze solutions. we reproduce known results for the Kerr geometry and de Sitter geometry in the confluent limits of Heun's functions. Our analysis can be extended to Kerr-Newman-de Sitter geometry for massless fi... - SUZUKI Hisao, TAKASUGI Eiichi, UMETSU HiroshiMeeting abstracts of the Physical Society of Japan Meeting abstracts of the Physical Society of Japan 53 (2) 13428349 1998/09 [Not refereed][Not invited]
- OCHIAI T., ISHIKAWA K., NAEDA N., SUZUKI H.Meeting abstracts of the Physical Society of Japan 日本物理学会講演概要集 53 (2) 13428349 1998/09 [Not refereed][Not invited]

Research paper (scientific journal) - Hisao Suzuki, Eiichi Takasugi, Hiroshi UmetsuProg.Theor.Phys. 100 (1998) 491-505 1998/05 [Not refereed][Not invited]

Research paper (scientific journal)It is well known that the perturbation equations of massless fields for the Kerr-de Sitter geometry can be written in the form of separable equations. The equations have five definite singularities so that the analysis has been expected to be difficult. We show that these equations can be transformed to Heun's equations, for which we are able to use known technique for the analysis of the solutions. We reproduce results known previously for the Kerr geometry and de Sitter geometry in the confluent limits of the Heun's functions. Our analysis applies can be extended to Kerr-Newman-de Sitter ... - Kenzo Ishikawa, Nobuki Maeda, Tetsuyuki Ochiai, Hisao SuzukiPRB 58, 13391R (1998) 1998/03 [Not refereed][Not invited]

Research paper (scientific journal)By studying the quantum Hall effect of stationary states with high values of injected current using a von Neumann lattice representation, we found that broadening of extended state bands due to a Hall electric field occurs and causes the breakdown of the quantum Hall effect. The Hall conductance agrees with a topological invariant that is quantized exactly below a critical field and is not quantized above a critical field. The critical field is proportional to $B^{3/2}$ and is enhanced substantially if the extended states occupy a small fraction of the system. - Ochiai T., Ishikawa K., Maeda N., Suzuki H.Meeting abstracts of the Physical Society of Japan 日本物理学会講演概要集 52 (2) 13428349 1997/09 [Not refereed][Not invited]

Research paper (scientific journal) - Hisao SuzukiMod.Phys.Lett. A12 (1997) 2847-2858 1997/07 [Not refereed][Not invited]

Research paper (scientific journal)We show how to evaluate the periods in Seiberg-Witten theories and in K3-fibered Calabi-Yau manifolds by using fibrations of the theories. In the Seiberg-Witten theories, it is shown that the dual pair of fields can be constructed from the classical fields in a simple form. As for Calabi-Yau manifolds which are fibrations of K3 surface, we obtain the solutions of the Picard-Fuchs equations from the periods of K3 surface. By utilizing the expression of periods for two-parameter models of type-II string, we derive the solutions of the Picard-Fuchs equations around the points of enhanced gauge... - Takahiro Masuda, Toru Sasaki, Hisao SuzukiInt.J.Mod.Phys. A13 (1998) 3121-3144 1997/05 [Not refereed][Not invited]

Research paper (scientific journal)In SU(2) Seiberg-Witten theory, it is known that the dual pair of fields are expressed by hypergeometric functions. As for the theory with SU(3) gauge symmetry without matters, it was shown that the dual pairs of fields can be expressed by means of the Appell function of type F_4. These expressions are convenient for analyzing analytic properties of fields. We investigate the relation between Seiberg-Witten theory of rank two gauge group without matters and hypergeometric series of two variables. It is shown that the relation between gauge theories and Appell functions can be observed for o... - Hisao SuzukiInt.J.Mod.Phys. A12 (1997) 5123-5140 1997/01 [Not refereed][Not invited]

Research paper (scientific journal)The conifold singularities in the type-II string are considered as the points of phase transition. In some cases, these singularities can be understood in the framework of the conventional fields theores as the points of enhanced gauge symmetry. We consider a class of three moduli Type-II strings. It is shown the periods can be written in the form of hypergeometric series around the singular points in these models. The leading expansion around the conifold locus turns out to be described by Appell functions. In one singular point, we observe the enhanced gauge symmetry of $SU(2)\times SU(2)... - Takahiro Masuda, Hisao SuzukiNucl.Phys. B495 (1997) 149-171 1996/12 [Not refereed][Not invited]

Research paper (scientific journal)We show how to give the expression for periods, Higgs field and its dual of N=2 supersymmetric Yang-Mills theory around the conformal point. This is achieved by evaluating the integral representation in the weak coupling region, and by using analytic continuation to the conformal point. The explicit representation is shown for the SU(2) theory with matter fields and also for pure SU(N) and pure SO(2N) theory around the conformal point where the relation to the beta function of the theory is clarified. We also discuss a relation between the fixed points in the SU(2) theories with matter fiel... - MANO Shuhei, SUZUKI Hisao, TAKASUGI EiichiProgress of theoretical physics Progress of theoretical physics 96 (3) 549 - 565 0033-068X|1347-4081 1996/09 [Not refereed][Not invited]

Analytic solutions of the Regge-Wheeler equation are presented in the form of a series of hypergeometric functions and Coulomb wave functions which have different regions of convergence.Relations among these solutions are established. The series solutions are given as the Post-Minkowskian expansion with respect to the parameter ε≡2Mω, M being the mass of a black hole.Tbis expansion corresponds to the post-Newtonian expansion when they are applied to the gravitational radiation from a particle in a circular orbit around a black bole. These solutions can also be useful for numerical computati... - Takahiro Masuda, Hisao SuzukiInt.J.Mod.Phys. A13 (1998) 1495-1506 1996/09 [Not refereed][Not invited]

Research paper (scientific journal)We show how to obtain the explicite form of the low energy quantum effective action for $N=2$ supersymmetric Yang-Mills theory in the weak coupling region from the underlying hyperelliptic Riemann surface. This is achieved by evaluating the integral representation of the fields explicitly. We calculate the leading instanton corrections for the group $SU(\nc), SO(N)$ and $SP(2N)$ and find that the one-instanton contribution of the prepotentials for the these group coincide with the one obtained recently by using the direct instanton caluculation. - Takahiro Masuda, Hisao SuzukiInt.J.Mod.Phys. A12 (1997) 3413-3431 1996/09 [Not refereed][Not invited]

Research paper (scientific journal)We derive a simple formula for the periods associated with the low energy effective action of $N=2$ supersymmetric $SU(2)$ Yang-Mills theory with massive $N_f\le 3$ hypermultiplets. This is given by evaluating explicitly the integral associated to the elliptic curve using various identities of hypergeometric functions. Following this formalism, we can calculate the prepotential with massive hypermultiplets both in the weak coupling region and in the strong coupling region. In particular, we show how the Higgs field and its dual field are expressed as generalized hypergeometric functions wh... - MANO Shuhei, SUZUKI Hisao, TAKASUGI EiichiProgress of theoretical physics Progress of theoretical physics 95 (6) 1079 - 1096 0033-068X|1347-4081 1996/06 [Not refereed][Not invited]

Analytic solutions of the Teukolsky equation for arbitrary spin weight in Kerr geometry are presented in the form of series of hypergeometric functions and Coulomb wave functions. Relations between these solutions are established. The solutions provide a very powerful method not only for examining the general properties of solution and physical quantities both analytically and numerically. The solutions can be regarded as series expansions in terms of a small parameter ε≡2Mω, M being the mass of black hole, which corresponds to the Post-Minkowski espansion by G and to post-Newtonian expansi... - Shuhei Mano, Hisao Suzuki, Eiichi TakasugiProg.Theor.Phys. 96 (1996) 549-566 1996/05 [Not refereed][Not invited]

Research paper (scientific journal)Analytic solutions of the Regge-Wheeler equation are presented in the form of series of hypergeometric functions and Coulomb wave functions which have different regions of convergence. Relations between these solutions are established. The series solutions are given as the Post-Minkowskian expansion with respect to a parameter $\epsilon \equiv 2M\omega$, $M$ being the mass of black hole. This expansion corresponds to the post-Newtonian expansion when they are applied to the gravitational radiation from a particle in circular orbit around a black hole. These solutions can also be useful for ... - Takahiro Masuda, Hisao SuzukiJ.Math.Phys. 38 (1997) 3669-3678 1996/04 [Not refereed][Not invited]

Research paper (scientific journal)It is known that the radial equation of the massless fields with spin around Kerr black holes cannot be solved by special functions. Recently, the analytic solution was obtained by use of the expansion in terms of the special functions and various astrophysical application have been discussed. It was pointed out that the coefficients of the expansion by the confluent hypergeometric functions are identical to those of the expansion by the hypergeometric functions. We explain the reason of this fact by using the integral equations of the radial equation. It is shown that the kernel of the equ... - Shuhei Mano, Hisao Suzuki, Eiichi TakasugiProg.Theor.Phys. 95 (1996) 1079-1096 1996/03 [Not refereed][Not invited]

Research paper (scientific journal)Analytic solutions of the Teukolsky equation in Kerr geometries are presented in the form of series of hypergeometric functions and Coulomb wave functions. Relations between these solutions are established. The solutions provide a very powerful method not only for examining the general properties of solutions and physical quantities when they are applied to, but also for numerical computations. The solutions are given in the expansion of a small parameter $\epsilon \equiv 2M\omega$, $M$ being the mass of black hole, which corresponds to Post-Minkowski expansion by $G$ and to post-Newtonian ... - Mano ShuheiAbstracts of the meeting of the Physical Society of Japan. Sectional meeting 日本物理学会講演概要集. 秋の分科会 1995 (1) 1995/09 [Not refereed][Not invited]

Research paper (scientific journal) - Hisao SuzukiMod.Phys.Lett.A11:623-630,1996 1995/08 [Not refereed][Not invited]

Research paper (scientific journal)Recently proposed mechanism of the black hole condensation at conifold singularity in type II string is an interesting idea from which we can interpret the phase of the universal moduli space of the string vacua. It might also be expected that the true physics is on the conifold singularity after supersymmetry breaking. We derive a mass formula for the extreme black holes caused by the self-dual 5-form field strength, which is stable and supersymmetric. It is shown that the formula can be written by the moduli parameters of Calabi-Yau manifold and can be calculated explicitly. - Haru-Tada Sato, Hisao SuzukiMod.Phys.Lett. A9 (1994) 3673-3684 1994/10 [Not refereed][Not invited]

Research paper (scientific journal)We discuss the Bogoliubov transformation of the scalar wave functions caused by the change of coordinates in 4 dimensional de Sitter space. It is shown that the exact Bogoliubov coefficients can be obtained from the global coordinates to the static coordinates where there exist manifest horizon. We consider two type of global coordinates. In one global coordinates, it is shown that the Bogoliubov transformation to the static coordinates can be expressed by the discontinuous integral of Weber and Schafheitlin. The positive and negative energy states in the global coordinates degenerate in th... - Nobuyoshi Ohta, Hisao SuzukiMod.Phys.Lett. A9 (1994) 541-548 1993/10 [Not refereed][Not invited]

Research paper (scientific journal)We analyze the relation between a topological coset model based on super $SL(2,R)/U(1)$ coset and non-critical string theory by using free field realization. We show that the twisted $N=2$ algebra of the coset model can be naturally transformed into that of non-critical string. The screening operators of the coset models can be identified either with those of the minimal matters or with the cosmological constant operator. We also find that another screening operator, which is intrinsic in our approach, becomes the BRST nontrivial state of ghost number $0$ (generator of the ground ring for $... - HAMA Mitsuru, SAWAMURA Makoto, SUZUKI HaruoProgress of theoretical physics Progress of theoretical physics 88 (1) 149 - 153 0033-068X|1347-4081 1992/07 [Not refereed][Not invited]

Applying the previously obtained partition functions for high order parastatistical boson systems, we calculate some thermodynamical quantities of the free parabose gas and the level density of harmonic oscillators relevant to parabosonic strings. The results are qualitatively different from those of ordinary bosons, the order two parabosons and the simplified parabosonic model often used in statistical spin systems. - Nobuyoshi Ohta, Hisao SuzukiMod.Phys.Lett. A7 (1992) 2723-2730 1992/05 [Not refereed][Not invited]

Research paper (scientific journal)We study the interactions of the discrete states with nonzero ghost number in $c=1$ two-dimensional ($2D$) quantum gravity. By using the vertex operator representations, it is shown that their interactions are given by the structure constants of the group of the area preserving diffeomorphism similar to those of vanishing ghost number. The effective action for these states is also worked out. The result suggests the whole system has a BRST-like symmetry. - HAMA Mitsuru, SAWAMURA Makoto, SUZUKI HaruoProgress of theoretical physics Progress of theoretical physics 86 (6) 1141 - 1148 0033-068X|1347-4081 1991/12 [Not refereed][Not invited]

We calculate the partition functions for the parabosonic systems of level N≦order p. The partition functions are compact, independent of p and equivalent to those of the systems of N(N-1)/2 bosonic pairs in addition to N ordinary bosons. We also present a closed form of partition function for two-level parafermion system.

- Kazuhiko Suehiro, Jun Saito, Hisao Suzuki and Akira Onodera ()
**Physics II Learned by Level**

Maruzen Publishing 2013/11 Joint Work - Kazuhiko Suehiro, Jun Saito, Hisao Suzuki and Akira Onodera ()
**Physics I Learned by Level**

Maruzen Publishing 2013/03 Joint Work - Hisao Suzuki (Electromagnetizm)
**Introduction to Physics**

2004/03 Joint Work

- Fostering Open-Ended Problem-Solving Skills of Undergraduate STEM Students: Attempts in Asian Universities [Not invited]Hisao Suzuki, Keiichiro Yoshinaga, Jun SaitoTransforming STEM Higher Education 2018/11

- Suzuki Hisao BUTSURI 58- (11) 809 -815 2003/11 [Not refereed] [Not invited] Introduction and explanation (commerce magazine)A rapid progress of the superstring theories has been achieved in the field of particle physics. The superstring theories are the unification theories of particles and forces. In the theories, the most of the physical quantities can be solved exactly. In reverse, this progress motivated the construction of the exact results for the gauge theories in a very different point of view. I will give here a short report of the recent progress of this subject.

- 2006/03 Soryshiron group Soryushi medal

Adovocation of Kazama-Suzuki modelWinner: Yoichi Kazama and Hisao Suzuki

- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(特定領域研究)Date (from‐to) : 2004 -2009Author : Kenzo ISHIKAWA北海道大学Two topics on high energy physics, on physics of high precision experiments, and on dynamical properties of supersymmetric theory were analyzed. Many body amplitudes for the measurements of the particle's position and momentum was developed with wave packet in quantum field theory. Various properties of supersymmetric field theory and string theory were found and and its implications to cosmology were made.
- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(基盤研究(B))Date (from‐to) : 2004 -2006Author : Masaaki OGASAWARA北海道大学->東京農工大学In this research, we focus our attention on the teaching of basic sciences in research universities in Japan. The level and contents of the courses were analyzed in comparison with the counterparts in the United States and the United Kingdom. At the same time, we developed model courses to coped with the new type of students, those skills and ability were much more diverse in comparison with traditional students.First, we visited some of the advanced universities famous for unique and effective science education. In particular, introductory chemistry, Chem 1A, in the University of Californi...
- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(基盤研究(C))Date (from‐to) : 1999 -2002Author : Hisao SUZUKI北海道大学The various phases of super Yang-Mills theories and superstrings can be analyzed through the power of exact solutions. The main aim of the project was the analysis of the phases of these theories. There is a rapid progress in the fields of exact solutions of supersymmetric Yang-Mills theories. Recently, Dijkgraaf and Vafa made a conjecture that exact superpotential can be obtained via matrix integration. They derived this results for the superpotential for adjoint matter multiplets. We derive the superpotential of gauge theories having matter fields in the fundamental representation of gaug...
- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(特定領域研究(B))Date (from‐to) : 1998 -2001Author : Yoichi KAZAMA東京大学Kazama clarified the quantum mechanical origin of the conformal symmetry on the gauge theory side, which plays the pivotal role in the AdS/CFT correspondence. Further, he showed that conformal symmetry exists in a generalized sense in more general theories including the Matrix model for M theory. He then made, for the first time, a detailed study of the role of supersymmetry in determining the fully off-shell effective action of a DO particle. He obtained the complete effective action and the supersymmetry transformations at order 4 in the derivative expansion and rigorously proved a number...
- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(国際学術研究, 基盤研究(B))Date (from‐to) : 1998 -1999Author : Kenzo ISHIKAWA北海道大学In this project, fundamental problems of low dimensional physical systems such as field theory of quantum Hall effects, quantum gravity, super string, and super symmetric gauge theory and others are investigated and the following results have been obtained:(1)Compressible gas states of quantum Hall system have been established based on Hartree Foch theory on von Neumann lattice. They have anisotropic density moduration, nagative pressure and compressibility. Negative pressure leads quantum Hall effect to have unusual stability. Generalized flux state which connects fractional Hall effect wi...
- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(国際学術研究)Date (from‐to) : 1995 -1996Author : Noboru KAWAMOTO北海道大学This has been a very intensive exchange program. The followings are the collaborations between the members of two groups :1) Numerical simulations of two-dimensinal lattice quantum gravity for c=-2 model.2) Lattice gravity for 3-dimensional Ashtekar formalism.3) Non-critical open strings.There are further cooperative discussions which may have influenced the following subjects :1) Quantization of generalized Chern-Simons actions in arbitrary dimensions.2) Two-dimensional quantum gravity and strings.3) Quantum hall effects.4) Non-perturbative aspects of supersymmetric Yang-Mills theories.
- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(一般研究(C), 基盤研究(C))Date (from‐to) : 1994 -1996Author : Kiyoshi HIGASHIJIMA大阪大学Symmetry breaking in field theory is caused by some instability. Instability in one-particle problem triggers classical instability. In classically stable systems, symmetry sometimes breaks down by quantum instability. In these cases, instability does not show up unless one examines bound state spectrum. Relativistic bound states problems have various difficulties since we have to renormalize the theory in non-purturbative way. In asymptotic free field theory, however, we can overcome these difficulties. When the attractive force between massless quark and anti-quark is strong enough to mak...
- Ministry of Education, Culture, Sports, Science and Technology：Grants-in-Aid for Scientific Research(総合研究(A))Date (from‐to) : 1993 -1995Author : Masao NINOMIYA京都大学In the final year of this research project there are reported numerous important achievements. Some main results are described below.1.M.Ninomiya, together with Y.Kitazawa (investigator) and H.Kawai (Professor of KEK) , constructed to study in detail a theory fo a quantum gravity in 2+epsilon dimensions by using a nonperturbative methos in quantum field theory. In 1996, it was proven by induction that the theory is renormalizable in all orders in perturbation theory. It is the first time that a consisitent quantum gravity in higer dimensions was given. The theory may be a new starting point...

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