1993 Fiscal Year Annual Research Report

時空及び物質の統一理論

Research Project

Project/Area Number	04302015
Research Institution	Osaka University
Principal Investigator	吉川圭二大阪大学, 理学部, 教授 (10011545)
Co-Investigator(Kenkyū-buntansha)	静谷謙一京都大学, 基礎物理学研, 教授 (50154216) 益川敏英京都大学, 理学部, 教授 (60022612) 坂井典佑東京工業大学, 理学部, 教授 (80108448) 江口徹東京大学, 大学院理系, 教授 (20151970) 米谷民明東京大学, 教養学部, 教授 (10091521)
Keywords	2次元量子重力 / 共形場の理論 / 微生物の遊泳 / 3次元量子宇宙 / プランク質量 / Berry位相 / 対称性の生成
Research Abstract	平成5年度は、本計画の第2年度に当たり、平成4年度から続いている研究の成果が着々と上り始めた段階である。この時点でこれまでの成果を総括して、次年度の完了に向けて最終方針を検討するために、平成5年11月23日から25日迄の3日間、総合的な研究会を開催した。まず、2次元量子重力に関連しては、米谷、江口、坂井を中心として代数的な処方によるもの、解析的な弦理論の処方によるもの等、さまざまなアプローチが試みられた。結果は、2次元ブラックホールの量子力学的研究など本来の目的にとどまらず、統計力学系への応用、2次元乱流理論への応用、また微生物の遊泳運動にまで、この分野で発展した共形場理論の拡張がなされた。 2次元以上の量子重力に関しても、本研究の与えた影響は大きい。3次元時空の量子宇宙論は、ゆっくりではあるが着実に成果を上げつつある。4次元においても、2次元理論で開発された手法を部分的に応用して研究することが試みられている。低エネルギーの物理学においては、プランク質量(及びプランク長)を唯一のスケールとみなし、その極限で無次元量だけを含む場の理論の構成が試みられた。この場合、最初の力学系が持ち合わせなかったゲージ対称性が生成される例が発見された。そのキーとなる機構はBerry位相である。これは、一般に系の対称性は高エネルギーへ行く程高くなるという定説に反例を出した点で今後の面白いテーマになり得る。

Research Products
(41 results)

All Other

All Publications (41 results)

[Publications] Katsumi.Itoh: "BRST analysis of physical atates in a two-dimensional black hole" Physical Review D. 48. 3793-3808 (1993)
[Publications] Mitsuo.Hayashi: "The Cosmic Strings Generated from the Torsion" Mod.Phys.Leet.A. 8. 491-501 (1993)
[Publications] Z.F.Ezawa: "Meissner effect in Quantum Hall State Joseph Junction" Physical Review Letters. 70. 3119-3122 (1993)
[Publications] Z.F.Ezawa: "Lowest-Landau-Level component,Goldstone mode,and Josephson effect in a double-layer quantum Hall system" Physical Review B. 48. 15189-15197 (1993)
[Publications] Z.F.Ezawa: "Josephson effect in Multi-layer quantum Hall systems" Mod,Physics Letters B. (印刷中). (1994)
[Publications] T.Eguchi: "Topological Strings,Flat Coordinates and Gravitational Descendants" Phys.Lett.B305. 235-241 (1993)
[Publications] T.Eguchi: "Topological Field Theories and the Period Integrals" Mod.Phys.Lett.A8. 1627-1637 (1993)
[Publications] T.Kawai: "Elliptic Genera and N=2 SuperconformalField Theory" Nucl.Phys.B,. (掲載予定).
[Publications] Kondo,K.-I.: "Renormalization in the Gauged Nambu-Jona-Lasinio Model" Prog.Theor.Phys.89. 1249-1301 (1993)
[Publications] Kondo,K.-I.: "Renormalizing the gauged Nambu-Jona-Lasinio model" Mod.Phys.Lett.A. 8. 2859-2867 (1993)
[Publications] Kondo,K.-I.: "Gauge independent phase structure of the gauged Nambu-Jona-Lasinio and Yukawa models" Mod.Phys.Lett.A. 8. 3031-3047 (1993)
[Publications] Ikuo.Ichinose: "Renormalization-Group Study of the Massive-Sine Gordon Theory and Phase Structure of the Abelian Higgs Model" Int.J.Modern Physics A. (発表予定).
[Publications] Ikuo Ichinose: "Operator solution of the Sohwinger-Thirring Models by the Abelian Higgs Boson" Annals of Physics. (発表予定).
[Publications] Antal Jevicki Tamiaki Yoneya: "A deformed matrix model and the black hole background in two-dimensional string theory" Nuclear Physics B. B411. 64-96 (1994)
[Publications] 川村昌子、菅本晶夫、野尻伸一: "Swimming of microorganisms Viewed From String and Membrane Theories" Preprint OCHA-PP38,NDA-FP-14 Dec(1993)Submitted to Mod.Phys.Lett.A. (発表予定).
[Publications] T.Eguchi,H.Kanno,S.K.Yang,Y.Yamada: "Topological Strings,flat coordinates and gravitational descendants" Physics Letters B305(1993)235-241. B305. 235-241 (1993)
[Publications] T.Eguchi,Y.Yamada,S.K.Yang: "Topological field theories and period integrals" Modern Physics Letters. A8. 1627-1673 (1993)
[Publications] T.Eguchi: "c=1 Liouville theory perturbed by the black-hole mass operator" Physics Letters. B316. 74-79 (1993)
[Publications] J.L.Gervais Y.Matsuo: "Lightcone Parametrizations for Kahler Manifolds" Physics Letters B. 312. 285-290 (1993)
[Publications] Y.Matsuo: "Hopf Term,Loop Algebras,and Three Dimensional Navier-Stokes Equation" Modern Physics Letters A. 8. 2677-2686 (1993)
[Publications] S.Higuchi: "Nonlinear Renormalization Group Equation for Matrix Models" Phys.Lett.B. 318. 63-72 (1993)
[Publications] Y.Tanii: "Physical Scaling and Renormalization Group in Two-Dimensional Gravity" Phys.Lett.B. (in press).
[Publications] S.Higuchi: "Renormalization Group Approach to Matrix Models and Vector Models" Prog.Theor.Phys.Suppl.(in press).
[Publications] M.Hirayama: "Oscillator Representations of the Lie Algebra su(1,1)and the quantum algebra su_q(1,1)" Prog.Theor.Phys.90. 293-305 (1993)
[Publications] J.Maeda: "The Aharonov-Bohm and Aharonov-Casher effects and electromagnetic angular momentum" Zeitschrift fur Physik C. 60. 265-270 (1993)
[Publications] N.Fumita: "Induced Chern-Simons terms and intrinsic polarization of the Dirac sea in 1+2 dimensions" Physical Review D(accepted for publication). (発表予定). (1994)
[Publications] K.Iida H.Minakata and O.Yasuda: "A Test of the Equivalence Principle by Long-Baseline Neutrino-Oscillation Experiments" Modern Physics Letters A. 8. 1037-1046 (1993)
[Publications] H.Nunokawa H.Minakata: "Neutrino Flavor Mixing,Spin Precession and the Solar Neutrino Experiments" Physics Letters B. 314. 371-376 (1993)
[Publications] H.Hiro-oka H.Minakata: "Large-N Collective Field Theory Applied to Anyons in Magnetic Fieds" Modern Physics Letters A. 8. 3547-3555 (1993)
[Publications] Y.Saito: "Addendum to a dynamical formalism of singular Lagrangian system with higher derivatives" J.Math.Phys. 34. 3775-3779 (1993)
[Publications] T.Hirokane: "Witten Complex and Supersymmetric Quantum Mechanics on SO(3)" Journal of Mathematical Physics. 34. 2789-2806 (1993)
[Publications] S.Matsumoto: "Chaotic System on the Super Riemann Surface" CHAOS,SOLITONS AND FRACTALS. (発表予定).
[Publications] Y.Yasui: "Unstable geodesics and topological field theory" Journal of Mathematical Physics. (発表予定).
[Publications] S.Chaudhuri: "Universal and Nonperturbative Behavior in the One-Plaquette Model of Two-Dimensional String Theory" Nuclear Physics. B409. 399-414 (1993)
[Publications] H.Itoyama: "Sine-Gordon Theory with Higher Spin N=2 Supersymmetry and the Massless Limit" Nuclear Physics. (to appear).
[Publications] H.Itoyama: "Neutral Excitations and Others in the Sine-Gordon Theory" Progress of Theoretical Physics. (to appear).
[Publications] Katsumi Itoh: "BRST Analysis of Physical States in Two-Dimensional Black Hole" Physical Review. D48. 3793-3808 (1993)
[Publications] Taro Kashiwa(with K.Funakubo: "Chiral Invariance and Species Donblers in Generic Fermion Models on the Lattice" Int.Journal of Mod.Physics. 8A. 4649-4665 (1993)
[Publications] Koji Harada: "Massive Schwinger model with SU(2)f on the light cone" Phys.Rev.D. (発表予定).
[Publications] 原田恒司: "Light-Front Tamm.Dancoff 近似と相対論的束縛状態" 日本物理学会誌. (発表予定).
[Publications] 坂井典佑: "素粒子物理学" 培風館, 277 (1993)

1993 Fiscal Year Annual Research Report

時空及び物質の統一理論

Principal Investigator

吉川 圭二 大阪大学, 理学部, 教授 (10011545)

Research Products

[Publications] Katsumi.Itoh: "BRST analysis of physical atates in a two-dimensional black hole" Physical Review D. 48. 3793-3808 (1993)

[Publications] Mitsuo.Hayashi: "The Cosmic Strings Generated from the Torsion" Mod.Phys.Leet.A. 8. 491-501 (1993)

[Publications] Z.F.Ezawa: "Meissner effect in Quantum Hall State Joseph Junction" Physical Review Letters. 70. 3119-3122 (1993)

[Publications] Z.F.Ezawa: "Lowest-Landau-Level component,Goldstone mode,and Josephson effect in a double-layer quantum Hall system" Physical Review B. 48. 15189-15197 (1993)

[Publications] Z.F.Ezawa: "Josephson effect in Multi-layer quantum Hall systems" Mod,Physics Letters B. (印刷中). (1994)

[Publications] T.Eguchi: "Topological Strings,Flat Coordinates and Gravitational Descendants" Phys.Lett.B305. 235-241 (1993)

[Publications] T.Eguchi: "Topological Field Theories and the Period Integrals" Mod.Phys.Lett.A8. 1627-1637 (1993)

[Publications] T.Kawai: "Elliptic Genera and N=2 SuperconformalField Theory" Nucl.Phys.B,. (掲載予定).

[Publications] Kondo,K.-I.: "Renormalization in the Gauged Nambu-Jona-Lasinio Model" Prog.Theor.Phys.89. 1249-1301 (1993)

[Publications] Kondo,K.-I.: "Renormalizing the gauged Nambu-Jona-Lasinio model" Mod.Phys.Lett.A. 8. 2859-2867 (1993)

[Publications] Kondo,K.-I.: "Gauge independent phase structure of the gauged Nambu-Jona-Lasinio and Yukawa models" Mod.Phys.Lett.A. 8. 3031-3047 (1993)

[Publications] Ikuo.Ichinose: "Renormalization-Group Study of the Massive-Sine Gordon Theory and Phase Structure of the Abelian Higgs Model" Int.J.Modern Physics A. (発表予定).

[Publications] Ikuo Ichinose: "Operator solution of the Sohwinger-Thirring Models by the Abelian Higgs Boson" Annals of Physics. (発表予定).

[Publications] Antal Jevicki Tamiaki Yoneya: "A deformed matrix model and the black hole background in two-dimensional string theory" Nuclear Physics B. B411. 64-96 (1994)

[Publications] 川村昌子、菅本晶夫、野尻伸一: "Swimming of microorganisms Viewed From String and Membrane Theories" Preprint OCHA-PP38,NDA-FP-14 Dec(1993)Submitted to Mod.Phys.Lett.A. (発表予定).

[Publications] T.Eguchi,H.Kanno,S.K.Yang,Y.Yamada: "Topological Strings,flat coordinates and gravitational descendants" Physics Letters B305(1993)235-241. B305. 235-241 (1993)

[Publications] T.Eguchi,Y.Yamada,S.K.Yang: "Topological field theories and period integrals" Modern Physics Letters. A8. 1627-1673 (1993)

[Publications] T.Eguchi: "c=1 Liouville theory perturbed by the black-hole mass operator" Physics Letters. B316. 74-79 (1993)

[Publications] J.L.Gervais Y.Matsuo: "Lightcone Parametrizations for Kahler Manifolds" Physics Letters B. 312. 285-290 (1993)

[Publications] Y.Matsuo: "Hopf Term,Loop Algebras,and Three Dimensional Navier-Stokes Equation" Modern Physics Letters A. 8. 2677-2686 (1993)

[Publications] S.Higuchi: "Nonlinear Renormalization Group Equation for Matrix Models" Phys.Lett.B. 318. 63-72 (1993)

[Publications] Y.Tanii: "Physical Scaling and Renormalization Group in Two-Dimensional Gravity" Phys.Lett.B. (in press).

[Publications] S.Higuchi: "Renormalization Group Approach to Matrix Models and Vector Models" Prog.Theor.Phys.Suppl.(in press).

[Publications] M.Hirayama: "Oscillator Representations of the Lie Algebra su(1,1)and the quantum algebra su_q(1,1)" Prog.Theor.Phys.90. 293-305 (1993)

[Publications] J.Maeda: "The Aharonov-Bohm and Aharonov-Casher effects and electromagnetic angular momentum" Zeitschrift fur Physik C. 60. 265-270 (1993)

[Publications] N.Fumita: "Induced Chern-Simons terms and intrinsic polarization of the Dirac sea in 1+2 dimensions" Physical Review D(accepted for publication). (発表予定). (1994)

[Publications] K.Iida H.Minakata and O.Yasuda: "A Test of the Equivalence Principle by Long-Baseline Neutrino-Oscillation Experiments" Modern Physics Letters A. 8. 1037-1046 (1993)

[Publications] H.Nunokawa H.Minakata: "Neutrino Flavor Mixing,Spin Precession and the Solar Neutrino Experiments" Physics Letters B. 314. 371-376 (1993)

[Publications] H.Hiro-oka H.Minakata: "Large-N Collective Field Theory Applied to Anyons in Magnetic Fieds" Modern Physics Letters A. 8. 3547-3555 (1993)

[Publications] Y.Saito: "Addendum to a dynamical formalism of singular Lagrangian system with higher derivatives" J.Math.Phys. 34. 3775-3779 (1993)

[Publications] T.Hirokane: "Witten Complex and Supersymmetric Quantum Mechanics on SO(3)" Journal of Mathematical Physics. 34. 2789-2806 (1993)

[Publications] S.Matsumoto: "Chaotic System on the Super Riemann Surface" CHAOS,SOLITONS AND FRACTALS. (発表予定).

[Publications] Y.Yasui: "Unstable geodesics and topological field theory" Journal of Mathematical Physics. (発表予定).

[Publications] S.Chaudhuri: "Universal and Nonperturbative Behavior in the One-Plaquette Model of Two-Dimensional String Theory" Nuclear Physics. B409. 399-414 (1993)

[Publications] H.Itoyama: "Sine-Gordon Theory with Higher Spin N=2 Supersymmetry and the Massless Limit" Nuclear Physics. (to appear).

[Publications] H.Itoyama: "Neutral Excitations and Others in the Sine-Gordon Theory" Progress of Theoretical Physics. (to appear).

[Publications] Katsumi Itoh: "BRST Analysis of Physical States in Two-Dimensional Black Hole" Physical Review. D48. 3793-3808 (1993)

[Publications] Taro Kashiwa(with K.Funakubo: "Chiral Invariance and Species Donblers in Generic Fermion Models on the Lattice" Int.Journal of Mod.Physics. 8A. 4649-4665 (1993)

[Publications] Koji Harada: "Massive Schwinger model with SU(2)f on the light cone" Phys.Rev.D. (発表予定).

[Publications] 原田恒司: "Light-Front Tamm.Dancoff 近似と相対論的束縛状態" 日本物理学会誌. (発表予定).

[Publications] 坂井典佑: "素粒子物理学" 培風館, 277 (1993)

吉川圭二大阪大学, 理学部, 教授 (10011545)