1994 年度実績報告書

時空及び物質の統一理論

研究課題

研究課題/領域番号	04302015
研究機関	大阪大学
研究代表者	吉川圭二大阪大学, 理学部, 教授 (10011545)
研究分担者	菅本晶夫お茶の水大学, 理学部, 教授 (70132686) 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) 米谷民明東京大学, 教養学部, 教授 (10091521) 江口徹東京大学, 大学院・理学研究科, 教授 (20151970)
キーワード	量子重力 / 弦(紐)理論 / 行列理論 / ブラックホール / 普遍弦理論 / ゲージ理論の誘導 / XXZ-スピン模型 / 微生物の遊泳
研究概要	平成6年度は、本研究計画の最終年度にあたる。昨年度全国からの関係者を招いて行った研究集会において、其の時点での研究状況を総括し最終年度の研究指針を定めた。其の結果による本年度の活動は以下のようにまとめられる。 (1)量子重力理論はくりこみ不可能の為、摂動的な解析が許されない。この困難を回避し其の動力学的な解析をするためにいくつかの簡略化された模型が考察された。其の一つは、2又は3次元の重力理論である。低次元では重力子の自由度が存在しないので発散の困難が回避される。特に2次元理論では弦理論と等価なため、行列模型や繰りこみ群の方法でトポロジーの足し上げが実行された。また、ある種の低次元理論に於いてはBlack hole解が存在し、其の量子力学的な性質が詳しく考察された。また一方では、局所的な自由度がすべて非物理的になるような位相場の理論も多くの注目を引いた。とくに、2次元の位相的共形場は、上述のトポロジーの足し上げに幾何学的な描像を与え、相補的な定式化を与えてくれた。また弦理論に於いては、非臨界弦の場の理論や種々の2次元的対称性に基づいた弦理論を、一つの「普遍的な理論」の様々な解として統一的に記述する「普遍弦理論」の試みもなされた。 (2)上記のアプローチとは逆に高次元から4次元理論に迫る方法もある。本年度は6次元の時空におけるU(1)ゲージ理論から出発して、4次元時空に多様なゲージ対称性を持つ理論を誘導する事が可能である事を示した。これは、一種のBerry位相効果として理解出来る。 (3)弦や共形場理論において開発された数学的手法を、統計力学系やその他の問題の解析に応用した。XXZ-スピン模型の解析、共形場の理論と膜の理論が微生物の遊泳の力学の解析に応用された事などは大きな成果であった。

研究成果
(41件)

すべてその他

すべて文献書誌 (41件)

[文献書誌] K.Kikkawa and H.Tamura: ""Dynamical Gauge Field induced by the Berry Phase Mechanism"" J.Modern Phys.A10. No.5 (1995)
[文献書誌] H.Itoyama: ""Sine-Gordon Theory with Higher Spin N=2 Supersymmetry"" Nucl.Phys.B419. 632-646 (1994)
[文献書誌] H.Itoyama: ""Multicritical Behavior of c=1 Matrix Model"" Phys.Rev.D(to appear).
[文献書誌] M.Anazawa: ""Continuum Annulus Amplitudes from the Two-Matrix Model"" Submitted to Phys.Rev.Lett.
[文献書誌] H.Kunitomo: ""A Universal w String Theory"" Int.J.Mod.Phys.A(to appear).
[文献書誌] H.Kunitomo: ""On the Nonlinear Realization of the Superconformal Symmetry"" Phys.Lett.B343. 144-146 (1995)
[文献書誌] H.Kunitomo: ""A Hierarchy of Super w Strings"" Prog.Theor.Phys.92(1994). 1019-1031 (1994)
[文献書誌] T.Eguchi: ""On the Genus Expansion in the Topological String Theory"" Rev.Math.Phys.(to appear).
[文献書誌] T.Eguchi: ""The Topological CP^1 Model and the Large-N Matrix Integral"" Mod.Phys.Lett.A9(1994). 2893-2902 (1994)
[文献書誌] T.Kawai: ""Duality of Orbifoldized Elliptic Genera"" Prog.Theor.Phys.Suppl.(to appear).
[文献書誌] K.-I.Kondo: ""Phase Structure of the Gauged Yukawa Model"" Prog.Theor.Phys.91(1994). 541-571 (1994)
[文献書誌] K.-I.Kondo: ""Flavor-Dependence and Higher Orders of Gauge-Independent Solutions in Strong Coupling Gauge Theory"" Phys.Lett.325B. 423-429 (1994)
[文献書誌] K.-I.Kondo: ""Dynamical breakdown of chirality and parity in(2+1)-dimensional QED"" Nucl.Phys.B434. 85-108 (1995)
[文献書誌] Yasunori Fujii: ""Time-Dependent Coupling Constants in Unified Theories?"" Prog.Theor.Phys. 92(1994). 521-534 (1994)
[文献書誌] I.Ichinose: ""Effects of back reaction in the Brans-Dicke-dilaton cosmology"" Phys.Rev.D49. 6385-6393 (1994)
[文献書誌] I.Ichinose: ""Entropies of scalar fields on three dimensional black holes"" Nucl.Phys.B(to appear).
[文献書誌] Antal Jevicki and Tamiaki Yoneya: ""A deformed matrix model and the black-hole background in two-dimensional string theory"" Nucl.Phys.B411. 64-96 (1994)
[文献書誌] T.Eguchi: ""Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory"" Phys.Lett.331B. 330-334 (1994)
[文献書誌] Shin'ichi Nojiri: ""Quantum Machanics for the Swimming of Micro-Organism in Two Dimansions"" Phys.Lett.B343. 181-188 (1995)
[文献書誌] Masako Kawamura: ""Swimming of Micro-Organisms viewed from String and Membrane Theories"" Mod.Phys.Lett.A9(1994). 1159-1174 (1994)
[文献書誌] T.Inui: ""Cosmological Baryon Asymmetry in Super-Symmeric Standard Model and Heavy Particle Effects"" Phys.Lett.322B. 392-400 (1994)
[文献書誌] S.Kojima: ""Dilaton Gravity in 2+ε Dimensions"" Nucl.Phys.B426. 223-243 (1994)
[文献書誌] S.Higuchi: ""Renormalization Group Flow in One-and Two-Matrix Models"" Nucl.Phys.B434. 283-320 (1995)
[文献書誌] A.Chodos: ""The Gross-Neveu Model as an Effective Theory for Polyacetylene"" Phys.Lett.191A. 39-45 (1994)
[文献書誌] H.Hiro-Oka: ""Solitons in the Nonlinear Schrodinger Model and the Colletive Ground State of a One-Dimensional Delta-Function Gas"" Phys.Lett.195A. 204-209 (1994)
[文献書誌] Susumu Furuichi: ""Dispersion Relation Analysis of the Nucleon Electromagnetic Form Factors with Uncorrelated π π and KK Pairs"" Prog.Theor.Phys.92(1994). 339-352 (1994)
[文献書誌] M.Hirayama: ""Riemannian Structure Induced by Parameter-Dependent Quantum State Vectors"" Prog.Theor.Phys.91(1994). 991-1003 (1994)
[文献書誌] Z.Z.Xin: ""Even and odd two-photon coherent states of the radiation field"" Phys.Rev.A50. 2865-2869 (1994)
[文献書誌] M.Hirayama: ""Distance Formula for Grassmann Manifold-Applied to Anandan-Aharonov Uncertainty Relation-"" Prog.Theor.Phys.93(1995). No.2 (1995)
[文献書誌] T.T.Fujishiro: ""Exact Cosmic String Solutions based on the continuum Thery of Dislocations"" Int.J.Mod.Phys.A9(1994). 4101-4127 (1994)
[文献書誌] T.T.Fujishiro: ""Self Dual Gravity and Twistor"" Bulletin of DEPT.of Libe.in Shimizu Campus,Tokai Univ.20(1995)(to apper). (1995)
[文献書誌] E.Abdalla: ""Correlation functions in noncritical(super)string theory"" Int.J.Mod.Phys.A7(1992). 7339-7363 (1992)
[文献書誌] K.Shizuya: ""Edge Current in the Quantum Hall Effect"" Phys.Rev.Lett.73(1994). 2907-2910 (1994)
[文献書誌] Yukinori Yasui: ""Unstable geodesics and topological field theory"" J.Math.Phys.35(1994). 4547-4567 (1994)
[文献書誌] Shuji Masumoto: ""Chaotic System on the Super Riemaun Surface"" Chaos,Solitons and Fractals. (to appear).
[文献書誌] Taro Kashiwa: ""Ordering,Symbols and Finite-Dimensional Approximation of Path Integrals"" Prog.Theor.Phys.92(1994). 669-685 (1994)
[文献書誌] Kunio Funahashi: ""Coherent States,Path Integral,and Semiclassical Approximation"" J.Math.Phys.(to appear). (1995)
[文献書誌] Koichi Funakubo: ""Chiral Invariance and Species Doublers in Generic Fermion Models on the Lettice"" Int.J.Mod.Phys.8(1993). 4649-4665 (1993)
[文献書誌] Koji Harada: ""Massive Schwinger model with SU(2)f on the light cone"" Phys.Rev.D49. 4226-4245 (1994)
[文献書誌] 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. 49(1994). 294-297 (1994)
[文献書誌] H.Minakata(編): "World Scientific Publishing," "Festschrift in Honor of Tetsuro Kobayashi's 63rd Birthday", (1994)

1994 年度 実績報告書

時空及び物質の統一理論

研究代表者

吉川 圭二 大阪大学, 理学部, 教授 (10011545)

研究成果

[文献書誌] K.Kikkawa and H.Tamura: ""Dynamical Gauge Field induced by the Berry Phase Mechanism"" J.Modern Phys.A10. No.5 (1995)

[文献書誌] H.Itoyama: ""Sine-Gordon Theory with Higher Spin N=2 Supersymmetry"" Nucl.Phys.B419. 632-646 (1994)

[文献書誌] H.Itoyama: ""Multicritical Behavior of c=1 Matrix Model"" Phys.Rev.D(to appear).

[文献書誌] M.Anazawa: ""Continuum Annulus Amplitudes from the Two-Matrix Model"" Submitted to Phys.Rev.Lett.

[文献書誌] H.Kunitomo: ""A Universal w String Theory"" Int.J.Mod.Phys.A(to appear).

[文献書誌] H.Kunitomo: ""On the Nonlinear Realization of the Superconformal Symmetry"" Phys.Lett.B343. 144-146 (1995)

[文献書誌] H.Kunitomo: ""A Hierarchy of Super w Strings"" Prog.Theor.Phys.92(1994). 1019-1031 (1994)

[文献書誌] T.Eguchi: ""On the Genus Expansion in the Topological String Theory"" Rev.Math.Phys.(to appear).

[文献書誌] T.Eguchi: ""The Topological CP^1 Model and the Large-N Matrix Integral"" Mod.Phys.Lett.A9(1994). 2893-2902 (1994)

[文献書誌] T.Kawai: ""Duality of Orbifoldized Elliptic Genera"" Prog.Theor.Phys.Suppl.(to appear).

[文献書誌] K.-I.Kondo: ""Phase Structure of the Gauged Yukawa Model"" Prog.Theor.Phys.91(1994). 541-571 (1994)

[文献書誌] K.-I.Kondo: ""Flavor-Dependence and Higher Orders of Gauge-Independent Solutions in Strong Coupling Gauge Theory"" Phys.Lett.325B. 423-429 (1994)

[文献書誌] K.-I.Kondo: ""Dynamical breakdown of chirality and parity in(2+1)-dimensional QED"" Nucl.Phys.B434. 85-108 (1995)

[文献書誌] Yasunori Fujii: ""Time-Dependent Coupling Constants in Unified Theories?"" Prog.Theor.Phys. 92(1994). 521-534 (1994)

[文献書誌] I.Ichinose: ""Effects of back reaction in the Brans-Dicke-dilaton cosmology"" Phys.Rev.D49. 6385-6393 (1994)

[文献書誌] I.Ichinose: ""Entropies of scalar fields on three dimensional black holes"" Nucl.Phys.B(to appear).

[文献書誌] Antal Jevicki and Tamiaki Yoneya: ""A deformed matrix model and the black-hole background in two-dimensional string theory"" Nucl.Phys.B411. 64-96 (1994)

[文献書誌] T.Eguchi: ""Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory"" Phys.Lett.331B. 330-334 (1994)

[文献書誌] Shin'ichi Nojiri: ""Quantum Machanics for the Swimming of Micro-Organism in Two Dimansions"" Phys.Lett.B343. 181-188 (1995)

[文献書誌] Masako Kawamura: ""Swimming of Micro-Organisms viewed from String and Membrane Theories"" Mod.Phys.Lett.A9(1994). 1159-1174 (1994)

[文献書誌] T.Inui: ""Cosmological Baryon Asymmetry in Super-Symmeric Standard Model and Heavy Particle Effects"" Phys.Lett.322B. 392-400 (1994)

[文献書誌] S.Kojima: ""Dilaton Gravity in 2+ε Dimensions"" Nucl.Phys.B426. 223-243 (1994)

[文献書誌] S.Higuchi: ""Renormalization Group Flow in One-and Two-Matrix Models"" Nucl.Phys.B434. 283-320 (1995)

[文献書誌] A.Chodos: ""The Gross-Neveu Model as an Effective Theory for Polyacetylene"" Phys.Lett.191A. 39-45 (1994)

[文献書誌] H.Hiro-Oka: ""Solitons in the Nonlinear Schrodinger Model and the Colletive Ground State of a One-Dimensional Delta-Function Gas"" Phys.Lett.195A. 204-209 (1994)

[文献書誌] Susumu Furuichi: ""Dispersion Relation Analysis of the Nucleon Electromagnetic Form Factors with Uncorrelated π π and KK Pairs"" Prog.Theor.Phys.92(1994). 339-352 (1994)

[文献書誌] M.Hirayama: ""Riemannian Structure Induced by Parameter-Dependent Quantum State Vectors"" Prog.Theor.Phys.91(1994). 991-1003 (1994)

[文献書誌] Z.Z.Xin: ""Even and odd two-photon coherent states of the radiation field"" Phys.Rev.A50. 2865-2869 (1994)

[文献書誌] M.Hirayama: ""Distance Formula for Grassmann Manifold-Applied to Anandan-Aharonov Uncertainty Relation-"" Prog.Theor.Phys.93(1995). No.2 (1995)

[文献書誌] T.T.Fujishiro: ""Exact Cosmic String Solutions based on the continuum Thery of Dislocations"" Int.J.Mod.Phys.A9(1994). 4101-4127 (1994)

[文献書誌] T.T.Fujishiro: ""Self Dual Gravity and Twistor"" Bulletin of DEPT.of Libe.in Shimizu Campus,Tokai Univ.20(1995)(to apper). (1995)

[文献書誌] E.Abdalla: ""Correlation functions in noncritical(super)string theory"" Int.J.Mod.Phys.A7(1992). 7339-7363 (1992)

[文献書誌] K.Shizuya: ""Edge Current in the Quantum Hall Effect"" Phys.Rev.Lett.73(1994). 2907-2910 (1994)

[文献書誌] Yukinori Yasui: ""Unstable geodesics and topological field theory"" J.Math.Phys.35(1994). 4547-4567 (1994)

[文献書誌] Shuji Masumoto: ""Chaotic System on the Super Riemaun Surface"" Chaos,Solitons and Fractals. (to appear).

[文献書誌] Taro Kashiwa: ""Ordering,Symbols and Finite-Dimensional Approximation of Path Integrals"" Prog.Theor.Phys.92(1994). 669-685 (1994)

[文献書誌] Kunio Funahashi: ""Coherent States,Path Integral,and Semiclassical Approximation"" J.Math.Phys.(to appear). (1995)

[文献書誌] Koichi Funakubo: ""Chiral Invariance and Species Doublers in Generic Fermion Models on the Lettice"" Int.J.Mod.Phys.8(1993). 4649-4665 (1993)

[文献書誌] Koji Harada: ""Massive Schwinger model with SU(2)f on the light cone"" Phys.Rev.D49. 4226-4245 (1994)

[文献書誌] 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. 49(1994). 294-297 (1994)

[文献書誌] H.Minakata(編): "World Scientific Publishing," "Festschrift in Honor of Tetsuro Kobayashi's 63rd Birthday", (1994)

1994 年度実績報告書

吉川圭二大阪大学, 理学部, 教授 (10011545)

[文献書誌] 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. 49(1994). 294-297 (1994)