場の理論における動的対称性の破れの研究

1990 Fiscal Year Annual Research Report

• Project/Area Number: 01302013
• Research Institution: Hiroshima University
• Principal Investigator: 牟田 泰三 広島大学, 理学部, 教授 (80025353)
• Co-Investigator(Kenkyū-buntansha): 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)
• Keywords: 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

Research Abstract

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。

Research Products

• [Publications] T.Muta: "Gauge dependence of the effective potential for bilocal composite fields in Abelian gauge theories" Physical Review D. 41. 1296 (1990)
• [Publications] T.Muta: "Dymanical electroweak symmetry breaking with colorーsextet quarks" Progress of Theoretical Physics. 85. 111-130 (1991)
• [Publications] C.Y.Habe: "The Analysis of the ζーπmass difference by using Salpeter" EPHOUー89ー009. (1989)
• [Publications] C.Y.Habe: "The Analysis of the ρーπmass difference using Salpeter Equation" EPHOUー91ー001. (1991)
• [Publications] T.Akiba: "Free energy of the sphaleron in the WeinbergーSalam model" Physical Review D. 40. 588-600 (1989)
• [Publications] T.Akiba: "Relaxation of Baryon Namber in the Standard Electroweak Model" Progress Theoretical Physics (Letters). 83. 671-676 (1990)
• [Publications] 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)
• [Publications] 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)
• [Publications] Y.Iwasaki: "Chiral Properties of Dynamical Wilson Quarks" Nuclear Physics B.
• [Publications] Y.Iwasaki: "Chiral Properties of Dynamical Wilson Quarks at Finite Temperature" Physical Review Letters.
• [Publications] T.Fujiwara: "Anomalous Nomabelian Gauge Theories based on the BatalinーFradkin Formalism" Physical Letter B. 251. 427-433 (1990)
• [Publications] T.Fujiwara: "Investigation of Anomalous Schwinger Terms Based on the BatalinーFradkinーVilkovisky Formalism" Nuclear Physics.
• [Publications] H.Fujisaki: "Renormalizability of Open Bosonic Thermal Strings" Progress of Theoretical Physics. 82. 1017-1022 (1989)
• [Publications] H.Fujisaki: "Comments on Renormalizability of Open Bosonic Thermal Strings" Progress of Theoretical Physics. 83. 18-21 (1990)
• [Publications] S.Naka: "Electroweak Gauge Theory out of SU(2/1) Gauge Theory" Progress of Theoretical Physics. 85. (1991)
• [Publications] 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)
• [Publications] Y.Kazawa: "Novel Topological Conformal Algebras" Int.J.Mod.Phys.
• [Publications] M.Abe: "StringーLoop Correction to CalabiーYau Compactification" Modern Physics Letters A. 4. 243-250 (1989)
• [Publications] M.Akamaki: "Development of the Renormalization Theory in Quantum Electrodynamics (II)" Historia Scientiarum. 37. 91-113 (1989)
• [Publications] Y.Abe: "Science Education and Quantum Theory" Bull.C.E.R.P.,Mie Univ.10. 45-55 (1990)
• [Publications] 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)
• [Publications] S.Matsuda: "Super Schwarzian Derivatives in N=4 SU(2)ーextended Superconformal Algebras" Modern Physics Letters A. 5. 841-851 (1990)
• [Publications] KーI.Aoki: "Calculating the Decay Constant F" Progress of Theoretical Physics. 84. 683-701 (1990)
• [Publications] KーI.Aoki: "Asymptotically Free Versus Asymptotically Nonfree Gauge Theories" Progress of Theoretical Physics. 82. 1151-1163 (1989)
• [Publications] N.Sakai: "Super WessーZuminoーWitten models from Super ChernーSimons Theories" Progress of Theoretical Physics. 83. 968-990 (1990)
• [Publications] N.Hirayama: "Fermion Mass Implied by MaskawaーNakajima Equation" Progress of Theoretical Physics. 82. 241-245 (1989)
• [Publications] M.Hirayama: "Fermionized bosons and Szego^^¨s^^′ theorem" Physical Review D. 42. 2736-2744 (1990)
• [Publications] KーI.Aoki: "How Doew Technicolor Survive the FCNC Syndrome?" Progress of Theoretical Physics. 82. 388-395 (1989)
• [Publications] K.Kikukawa: "Ultraviolet Fixed Point Structure of Renormalizable FourーFermion Theory in Less than Four Dimensions." Physical Letter B. 234. 497-502 (1990)
• [Publications] M.Akamaki: "Development of the Renormalization Theory in Quantum Electrodynamics (I)" Historia Scientiarum. 36. 97-116 (1989)
• [Publications] Z.Maki: "Probabilistic Interpretation and the Quantum Theory of Measurement II" Progress of Theoretical Physics. 82. 638-664 (1989)
• [Publications] Z.Maki: "An Algebraic Approach to the Quantum Theory of Measurements" Progress of Theoretical Physics. 84. 574-583 (1990)
• [Publications] 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)
• [Publications] I.Ojima: "Generalized observable instrumentの概念と無限自由序系" 物性研究. 52. 577-585 (1989)
• [Publications] R.Sugano: "Gauge Transformations for dynamical systems with firstーand secondーclass constraints" Physical Review D. 41. 1247-1254 (1990)
• [Publications] R.Sugano: "Classification of gauge groups in terms of algebraic structure of first class constraints" Journal of Mathematical Physics. 31. 2337-2344 (1990)
• [Publications] P.Di Vecchia: "Double Scaling Limit in O(N) Vector Models" Nuclear Physics B.
• [Publications] P.Di Vecchia: "Double Scaling Limit in O(N) Vector Models in D Dimensions"
• [Publications] A.Tanaka: "Absence of Phase Transition in the Goldstone Model" Progress of Theoretical Physics. 83. 390-394 (1990)
• [Publications] H.Shinke: "New Renormalization Group Equation" Physical Review D. 43. (1991)
• [Publications] T.Hasuike: "CPーviolations and effects of 4th generations in B meson nonleptonic decays" Progress of Theoretical Physics. 83. 265-273 (1990)
• [Publications] T.Hasuike: "Fourthーgeneration effect on CP violation in B_d hadronic decays" Physical Reveiw D. 41. 1691-1694 (1990)
• [Publications] T.Yamaya: "Experimental examination of the lowest alpha cluster states in ^<44>Ti" Physical Review C. 42. 2421-2424 (1990)
• [Publications] T.Yamaya: "Existence of alphaーcluster structure in ^<44>Ti via the ( ^6Li,d) reaction" Physical Review C. 42. 1935-1944 (1990)
• [Publications] M.Imachi: "U(1) Lattice Gauge Theory;Four Fermi Coupling and MigdolーKadanoff Renormalization Group" Progress of Theoretical Physics. 81. 1225-1237 (1989)
• [Publications] M.Imachi: "Renormalization Group Flow in Lattice QED and Four Fermi Coupling" Physical Reveiw D. 42. 610-619 (1990)
• [Publications] 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)
• [Publications] 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)
• [Publications] J.Kodaira: "On the Higher Order Corrections in the Integrals of Motion away from Criticality" Modern Physics Letters A. 4. 2217-2224 (1989)
• [Publications] J.Kodaira: "Conservation Laws away from Criticality beyond the Lowest Order" Progress of Theoretical Physics. 83. 326-342 (1990)
• [Publications] Akira Fujitsu: "Classification of Symmetry Breaking Patterns in Heterotic Strings on Z3 Orbifold" Int.J.Mod.Phys.A5. 1529-1549 (1990)
• [Publications] 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)
• [Publications] 木村 利栄: "古典および量子重力理論" マグロヒル, 298 (1989)
• [Publications] 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)
• [Publications] 中西 襄: "Covariant Operator Formalism of Gauge Theories and Quantum Gravity" World Scientific Publishing Company, 434 (1990)