1990 年度実績報告書

場の理論における動的対称性の破れの研究

研究課題

研究課題/領域番号	01302013
研究機関	広島大学
研究代表者	牟田泰三広島大学, 理学部, 教授 (80025353)
研究分担者	小平治郎広島大学, 理学部, 助手 (40127080) 井町昌弘九州大学, 理学部, 助教授 (70037208) 青木健一京都大学, 基礎物理学研究所, 助手 (00150912) 坂井典佑東京工業大学, 理学部, 助教授 (80108448) 岩田健三北海道大学, 理学部, 助教授 (40000773)
キーワード	場の量子論 / 自発的対称性の破れ / 電弱理論 / 格子ゲ-ジ理論 / ヒッグス機構 / ワインバ-グ・サラム模型 / 量子電気力学 / 共形場理論
研究概要	初年度の研究成果をふまえ、さらにそれを発展させるために、次のような具体的な問題について重点的に作業を行った。 1.数値シミュレ-ションによるゲ-ジ場理論の相構造の研究 2.電弱理論のヒッグス機構に対する具体的な動的模型の構築 3.電弱理論の非摂動解(インスタントン、スファレロンなど)によるバリオン数非保存現象の研究 4.共形場理論の臨界点外で誘導される2次元重力の行列模型による研究 5.低エネルギ-現象における複合模型の検証 6.ヒッグス場の強結合相の解析的取り扱いこれらの研究の結果、いくつかの注目に値する進展が見られた。 1.格子されたコンパクト及び非コンパクト量子電気力学の相構造の間に関係をつけることができ、ある種の対応関係があることがわかった。 2.紐理論で現れる反対称テンソルと閉じ込め機構との関係が、行列模型を使った数値シミュレ-ションによって明らかになった。 3.未だ発見されていないトップクォ-クの質量に対する予言が、ヒッグス粒子の複合模型のとり方によって変わり得ることが示された。 4.シュビンガ-・ダイソン方程式を用いてヒッグス場の強結合相の性質が解明された。 5.複合模型の痕跡が、低エネルギ-現象でも、標準模型の輻射補正と同程度の大きさで検知でき、実験的検証の可能性があることがわかった。これらの研究は、このまま来年度へもつなげていきたい。

研究成果
(55件)

すべてその他

すべて文献書誌 (55件)

[文献書誌] T.Muta: "Gauge dependence of the effective potential for bilocal composite fields in Abelian gauge theories" Physical Review D. 41. 1296 (1990)
[文献書誌] T.Muta: "Dymanical electroweak symmetry breaking with colorーsextet quarks" Progress of Theoretical Physics. 85. 111-130 (1991)
[文献書誌] C.Y.Habe: "The Analysis of the ζーπmass difference by using Salpeter" EPHOUー89ー009. (1989)
[文献書誌] C.Y.Habe: "The Analysis of the ρーπmass difference using Salpeter Equation" EPHOUー91ー001. (1991)
[文献書誌] T.Akiba: "Free energy of the sphaleron in the WeinbergーSalam model" Physical Review D. 40. 588-600 (1989)
[文献書誌] T.Akiba: "Relaxation of Baryon Namber in the Standard Electroweak Model" Progress Theoretical Physics (Letters). 83. 671-676 (1990)
[文献書誌] T.Ohta: "Center of Inertia for the nーBody System in the PostーPostーNewtonian Approximation in General Relativity" Progress of Theoretical Physics. 81. 662-678 (1989)
[文献書誌] T.Ohta: "The TwoーBody Motion and the Periastron Advance in the PostーPostーNewtonian Approximation" Progress of Theoretical Physics. 81. 679-689 (1989)
[文献書誌] Y.Iwasaki: "Chiral Properties of Dynamical Wilson Quarks" Nuclear Physics B.
[文献書誌] Y.Iwasaki: "Chiral Properties of Dynamical Wilson Quarks at Finite Temperature" Physical Review Letters.
[文献書誌] T.Fujiwara: "Anomalous Nomabelian Gauge Theories based on the BatalinーFradkin Formalism" Physical Letter B. 251. 427-433 (1990)
[文献書誌] T.Fujiwara: "Investigation of Anomalous Schwinger Terms Based on the BatalinーFradkinーVilkovisky Formalism" Nuclear Physics.
[文献書誌] H.Fujisaki: "Renormalizability of Open Bosonic Thermal Strings" Progress of Theoretical Physics. 82. 1017-1022 (1989)
[文献書誌] H.Fujisaki: "Comments on Renormalizability of Open Bosonic Thermal Strings" Progress of Theoretical Physics. 83. 18-21 (1990)
[文献書誌] S.Naka: "Electroweak Gauge Theory out of SU(2/1) Gauge Theory" Progress of Theoretical Physics. 85. (1991)
[文献書誌] K.Ito: "FeiginーFuchs Representation of A^<(1)>_n Affine Lie Algebra and the Associated Parafermionic Algebra" Modern Physics Letters A. 5. 215-224 (1990)
[文献書誌] Y.Kazawa: "Novel Topological Conformal Algebras" Int.J.Mod.Phys.
[文献書誌] M.Abe: "StringーLoop Correction to CalabiーYau Compactification" Modern Physics Letters A. 4. 243-250 (1989)
[文献書誌] M.Akamaki: "Development of the Renormalization Theory in Quantum Electrodynamics (II)" Historia Scientiarum. 37. 91-113 (1989)
[文献書誌] Y.Abe: "Science Education and Quantum Theory" Bull.C.E.R.P.,Mie Univ.10. 45-55 (1990)
[文献書誌] K.Kobayashi: "Higher Integrals of Motion in a Perturbed k=4 SU(2)ーextended Superconformal Algebras" Modern Physics Letters A. 5. 823-830 (1990)
[文献書誌] S.Matsuda: "Super Schwarzian Derivatives in N=4 SU(2)ーextended Superconformal Algebras" Modern Physics Letters A. 5. 841-851 (1990)
[文献書誌] KーI.Aoki: "Calculating the Decay Constant F" Progress of Theoretical Physics. 84. 683-701 (1990)
[文献書誌] KーI.Aoki: "Asymptotically Free Versus Asymptotically Nonfree Gauge Theories" Progress of Theoretical Physics. 82. 1151-1163 (1989)
[文献書誌] N.Sakai: "Super WessーZuminoーWitten models from Super ChernーSimons Theories" Progress of Theoretical Physics. 83. 968-990 (1990)
[文献書誌] N.Hirayama: "Fermion Mass Implied by MaskawaーNakajima Equation" Progress of Theoretical Physics. 82. 241-245 (1989)
[文献書誌] M.Hirayama: "Fermionized bosons and Szego^^¨s^^′ theorem" Physical Review D. 42. 2736-2744 (1990)
[文献書誌] KーI.Aoki: "How Doew Technicolor Survive the FCNC Syndrome?" Progress of Theoretical Physics. 82. 388-395 (1989)
[文献書誌] K.Kikukawa: "Ultraviolet Fixed Point Structure of Renormalizable FourーFermion Theory in Less than Four Dimensions." Physical Letter B. 234. 497-502 (1990)
[文献書誌] M.Akamaki: "Development of the Renormalization Theory in Quantum Electrodynamics (I)" Historia Scientiarum. 36. 97-116 (1989)
[文献書誌] Z.Maki: "Probabilistic Interpretation and the Quantum Theory of Measurement II" Progress of Theoretical Physics. 82. 638-664 (1989)
[文献書誌] Z.Maki: "An Algebraic Approach to the Quantum Theory of Measurements" Progress of Theoretical Physics. 84. 574-583 (1990)
[文献書誌] I.Ojima: "Entropy production and nonequilibrium stationarity in quantum dynamical systemーーphysical meaning of Van Hove limit" Journal of Statistical Physics. 56. 203-226 (1989)
[文献書誌] I.Ojima: "Generalized observable instrumentの概念と無限自由序系" 物性研究. 52. 577-585 (1989)
[文献書誌] R.Sugano: "Gauge Transformations for dynamical systems with firstーand secondーclass constraints" Physical Review D. 41. 1247-1254 (1990)
[文献書誌] R.Sugano: "Classification of gauge groups in terms of algebraic structure of first class constraints" Journal of Mathematical Physics. 31. 2337-2344 (1990)
[文献書誌] P.Di Vecchia: "Double Scaling Limit in O(N) Vector Models" Nuclear Physics B.
[文献書誌] P.Di Vecchia: "Double Scaling Limit in O(N) Vector Models in D Dimensions"
[文献書誌] A.Tanaka: "Absence of Phase Transition in the Goldstone Model" Progress of Theoretical Physics. 83. 390-394 (1990)
[文献書誌] H.Shinke: "New Renormalization Group Equation" Physical Review D. 43. (1991)
[文献書誌] T.Hasuike: "CPーviolations and effects of 4th generations in B meson nonleptonic decays" Progress of Theoretical Physics. 83. 265-273 (1990)
[文献書誌] T.Hasuike: "Fourthーgeneration effect on CP violation in B_d hadronic decays" Physical Reveiw D. 41. 1691-1694 (1990)
[文献書誌] T.Yamaya: "Experimental examination of the lowest alpha cluster states in ^<44>Ti" Physical Review C. 42. 2421-2424 (1990)
[文献書誌] T.Yamaya: "Existence of alphaーcluster structure in ^<44>Ti via the ( ^6Li,d) reaction" Physical Review C. 42. 1935-1944 (1990)
[文献書誌] M.Imachi: "U(1) Lattice Gauge Theory;Four Fermi Coupling and MigdolーKadanoff Renormalization Group" Progress of Theoretical Physics. 81. 1225-1237 (1989)
[文献書誌] M.Imachi: "Renormalization Group Flow in Lattice QED and Four Fermi Coupling" Physical Reveiw D. 42. 610-619 (1990)
[文献書誌] 福井市男: "一般情報処理教育をめぐって" 佐賀大学情報処理センタ-公報. 1. (1991)
[文献書誌] 福井市男: "学内LANの利用" 佐賀大学情報処理センタ-公報. 1. (1991)
[文献書誌] J.Kodaira: "On the Higher Order Corrections in the Integrals of Motion away from Criticality" Modern Physics Letters A. 4. 2217-2224 (1989)
[文献書誌] J.Kodaira: "Conservation Laws away from Criticality beyond the Lowest Order" Progress of Theoretical Physics. 83. 326-342 (1990)
[文献書誌] Akira Fujitsu: "Classification of Symmetry Breaking Patterns in Heterotic Strings on Z3 Orbifold" Int.J.Mod.Phys.A5. 1529-1549 (1990)
[文献書誌] 北添徹郎: "コンピュ-タによる創造のシミュレ-ション" 神戸大学大学院自然科学研究科紀要. 9B. 1-10 (1991)
[文献書誌] 木村利栄: "古典および量子重力理論" マグロヒル, 298 (1989)
[文献書誌] 長谷川洋: "in Proceedings of the 5th International Conference on Hadronic Mechanics and Nonpotential Interactions (論文題名;Algebraic and statistical stracture of evergy level dynamics for quantum chaos)" Nova Science Publishers,Inc., (1991)
[文献書誌] 中西襄: "Covariant Operator Formalism of Gauge Theories and Quantum Gravity" World Scientific Publishing Company, 434 (1990)

1990 年度 実績報告書

場の理論における動的対称性の破れの研究

研究代表者

牟田 泰三 広島大学, 理学部, 教授 (80025353)

研究成果

[文献書誌] T.Muta: "Gauge dependence of the effective potential for bilocal composite fields in Abelian gauge theories" Physical Review D. 41. 1296 (1990)

[文献書誌] T.Muta: "Dymanical electroweak symmetry breaking with colorーsextet quarks" Progress of Theoretical Physics. 85. 111-130 (1991)

[文献書誌] C.Y.Habe: "The Analysis of the ζーπmass difference by using Salpeter" EPHOUー89ー009. (1989)

[文献書誌] C.Y.Habe: "The Analysis of the ρーπmass difference using Salpeter Equation" EPHOUー91ー001. (1991)

[文献書誌] T.Akiba: "Free energy of the sphaleron in the WeinbergーSalam model" Physical Review D. 40. 588-600 (1989)

[文献書誌] T.Akiba: "Relaxation of Baryon Namber in the Standard Electroweak Model" Progress Theoretical Physics (Letters). 83. 671-676 (1990)

[文献書誌] T.Ohta: "Center of Inertia for the nーBody System in the PostーPostーNewtonian Approximation in General Relativity" Progress of Theoretical Physics. 81. 662-678 (1989)

[文献書誌] T.Ohta: "The TwoーBody Motion and the Periastron Advance in the PostーPostーNewtonian Approximation" Progress of Theoretical Physics. 81. 679-689 (1989)

[文献書誌] Y.Iwasaki: "Chiral Properties of Dynamical Wilson Quarks" Nuclear Physics B.

[文献書誌] Y.Iwasaki: "Chiral Properties of Dynamical Wilson Quarks at Finite Temperature" Physical Review Letters.

[文献書誌] T.Fujiwara: "Anomalous Nomabelian Gauge Theories based on the BatalinーFradkin Formalism" Physical Letter B. 251. 427-433 (1990)

[文献書誌] T.Fujiwara: "Investigation of Anomalous Schwinger Terms Based on the BatalinーFradkinーVilkovisky Formalism" Nuclear Physics.

[文献書誌] H.Fujisaki: "Renormalizability of Open Bosonic Thermal Strings" Progress of Theoretical Physics. 82. 1017-1022 (1989)

[文献書誌] H.Fujisaki: "Comments on Renormalizability of Open Bosonic Thermal Strings" Progress of Theoretical Physics. 83. 18-21 (1990)

[文献書誌] S.Naka: "Electroweak Gauge Theory out of SU(2/1) Gauge Theory" Progress of Theoretical Physics. 85. (1991)

[文献書誌] K.Ito: "FeiginーFuchs Representation of A^<(1)>_n Affine Lie Algebra and the Associated Parafermionic Algebra" Modern Physics Letters A. 5. 215-224 (1990)

[文献書誌] Y.Kazawa: "Novel Topological Conformal Algebras" Int.J.Mod.Phys.

[文献書誌] M.Abe: "StringーLoop Correction to CalabiーYau Compactification" Modern Physics Letters A. 4. 243-250 (1989)

[文献書誌] M.Akamaki: "Development of the Renormalization Theory in Quantum Electrodynamics (II)" Historia Scientiarum. 37. 91-113 (1989)

[文献書誌] Y.Abe: "Science Education and Quantum Theory" Bull.C.E.R.P.,Mie Univ.10. 45-55 (1990)

[文献書誌] K.Kobayashi: "Higher Integrals of Motion in a Perturbed k=4 SU(2)ーextended Superconformal Algebras" Modern Physics Letters A. 5. 823-830 (1990)

[文献書誌] S.Matsuda: "Super Schwarzian Derivatives in N=4 SU(2)ーextended Superconformal Algebras" Modern Physics Letters A. 5. 841-851 (1990)

[文献書誌] KーI.Aoki: "Calculating the Decay Constant F" Progress of Theoretical Physics. 84. 683-701 (1990)

[文献書誌] KーI.Aoki: "Asymptotically Free Versus Asymptotically Nonfree Gauge Theories" Progress of Theoretical Physics. 82. 1151-1163 (1989)

[文献書誌] N.Sakai: "Super WessーZuminoーWitten models from Super ChernーSimons Theories" Progress of Theoretical Physics. 83. 968-990 (1990)

[文献書誌] N.Hirayama: "Fermion Mass Implied by MaskawaーNakajima Equation" Progress of Theoretical Physics. 82. 241-245 (1989)

[文献書誌] M.Hirayama: "Fermionized bosons and Szego^^¨s^^′ theorem" Physical Review D. 42. 2736-2744 (1990)

[文献書誌] KーI.Aoki: "How Doew Technicolor Survive the FCNC Syndrome?" Progress of Theoretical Physics. 82. 388-395 (1989)

[文献書誌] K.Kikukawa: "Ultraviolet Fixed Point Structure of Renormalizable FourーFermion Theory in Less than Four Dimensions." Physical Letter B. 234. 497-502 (1990)

[文献書誌] M.Akamaki: "Development of the Renormalization Theory in Quantum Electrodynamics (I)" Historia Scientiarum. 36. 97-116 (1989)

[文献書誌] Z.Maki: "Probabilistic Interpretation and the Quantum Theory of Measurement II" Progress of Theoretical Physics. 82. 638-664 (1989)

[文献書誌] Z.Maki: "An Algebraic Approach to the Quantum Theory of Measurements" Progress of Theoretical Physics. 84. 574-583 (1990)

[文献書誌] I.Ojima: "Entropy production and nonequilibrium stationarity in quantum dynamical systemーーphysical meaning of Van Hove limit" Journal of Statistical Physics. 56. 203-226 (1989)

[文献書誌] I.Ojima: "Generalized observable instrumentの概念と無限自由序系" 物性研究. 52. 577-585 (1989)

[文献書誌] R.Sugano: "Gauge Transformations for dynamical systems with firstーand secondーclass constraints" Physical Review D. 41. 1247-1254 (1990)

[文献書誌] R.Sugano: "Classification of gauge groups in terms of algebraic structure of first class constraints" Journal of Mathematical Physics. 31. 2337-2344 (1990)

[文献書誌] P.Di Vecchia: "Double Scaling Limit in O(N) Vector Models" Nuclear Physics B.

[文献書誌] P.Di Vecchia: "Double Scaling Limit in O(N) Vector Models in D Dimensions"

[文献書誌] A.Tanaka: "Absence of Phase Transition in the Goldstone Model" Progress of Theoretical Physics. 83. 390-394 (1990)

[文献書誌] H.Shinke: "New Renormalization Group Equation" Physical Review D. 43. (1991)

[文献書誌] T.Hasuike: "CPーviolations and effects of 4th generations in B meson nonleptonic decays" Progress of Theoretical Physics. 83. 265-273 (1990)

[文献書誌] T.Hasuike: "Fourthーgeneration effect on CP violation in B_d hadronic decays" Physical Reveiw D. 41. 1691-1694 (1990)

[文献書誌] T.Yamaya: "Experimental examination of the lowest alpha cluster states in ^<44>Ti" Physical Review C. 42. 2421-2424 (1990)

[文献書誌] T.Yamaya: "Existence of alphaーcluster structure in ^<44>Ti via the ( ^6Li,d) reaction" Physical Review C. 42. 1935-1944 (1990)

[文献書誌] M.Imachi: "U(1) Lattice Gauge Theory;Four Fermi Coupling and MigdolーKadanoff Renormalization Group" Progress of Theoretical Physics. 81. 1225-1237 (1989)

[文献書誌] M.Imachi: "Renormalization Group Flow in Lattice QED and Four Fermi Coupling" Physical Reveiw D. 42. 610-619 (1990)

[文献書誌] 福井 市男: "一般情報処理教育をめぐって" 佐賀大学情報処理センタ-公報. 1. (1991)

[文献書誌] 福井 市男: "学内LANの利用" 佐賀大学情報処理センタ-公報. 1. (1991)

[文献書誌] J.Kodaira: "On the Higher Order Corrections in the Integrals of Motion away from Criticality" Modern Physics Letters A. 4. 2217-2224 (1989)

[文献書誌] J.Kodaira: "Conservation Laws away from Criticality beyond the Lowest Order" Progress of Theoretical Physics. 83. 326-342 (1990)

[文献書誌] Akira Fujitsu: "Classification of Symmetry Breaking Patterns in Heterotic Strings on Z3 Orbifold" Int.J.Mod.Phys.A5. 1529-1549 (1990)

[文献書誌] 北添 徹郎: "コンピュ-タによる創造のシミュレ-ション" 神戸大学大学院自然科学研究科紀要. 9B. 1-10 (1991)

[文献書誌] 木村 利栄: "古典および量子重力理論" マグロヒル, 298 (1989)

[文献書誌] 長谷川 洋: "in Proceedings of the 5th International Conference on Hadronic Mechanics and Nonpotential Interactions (論文題名;Algebraic and statistical stracture of evergy level dynamics for quantum chaos)" Nova Science Publishers,Inc., (1991)

[文献書誌] 中西 襄: "Covariant Operator Formalism of Gauge Theories and Quantum Gravity" World Scientific Publishing Company, 434 (1990)

1990 年度実績報告書

牟田泰三広島大学, 理学部, 教授 (80025353)

[文献書誌] 福井市男: "一般情報処理教育をめぐって" 佐賀大学情報処理センタ-公報. 1. (1991)

[文献書誌] 福井市男: "学内LANの利用" 佐賀大学情報処理センタ-公報. 1. (1991)

[文献書誌] 北添徹郎: "コンピュ-タによる創造のシミュレ-ション" 神戸大学大学院自然科学研究科紀要. 9B. 1-10 (1991)

[文献書誌] 木村利栄: "古典および量子重力理論" マグロヒル, 298 (1989)

[文献書誌] 長谷川洋: "in Proceedings of the 5th International Conference on Hadronic Mechanics and Nonpotential Interactions (論文題名;Algebraic and statistical stracture of evergy level dynamics for quantum chaos)" Nova Science Publishers,Inc., (1991)

[文献書誌] 中西襄: "Covariant Operator Formalism of Gauge Theories and Quantum Gravity" World Scientific Publishing Company, 434 (1990)