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Dynamical Symmetry Breaking in Curved Space-time

Research Project

Project/Area Number 08640377
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

MUTA Taizo  Hiroshima University, Department of Physics, Professor, 理学部, 教授 (80025353)

Co-Investigator(Kenkyū-buntansha) ONOGI Tetsuya  Hiroshima University, Department of Physics, Research Associate, 理学部, 助手 (70211802)
MOROZUMI Takuya  Hiroshima University, Department of Physics, Lecturer, 理学部, 講師 (20253049)
KADAIRA Jiro  Hiroshima University, Department of Physics, Assistant Professor, 理学部, 助教授 (40127080)
Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1998: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 1997: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1996: ¥700,000 (Direct Cost: ¥700,000)
KeywordsSymmetry breaking / Chiral symmetry / Higgs model / Curved space-time / Gravitation / Nambu-Jona-Lasinio model / Supersymmetry / 動的対称性の破れ / 対称性 / 宇宙初期 / 複合物 / 複合場 / 重力場 / 場の量子論 / 相転位 / 対称性の自発的破れ
Research Abstract

At the early stage of the expanding universe, in particular at the period of grand unified theories when the inflation takes place, the universe is influenced by the strong classical gravity which keeps the space-time curved. The inflationary expansion is caused by the Higgs field. In the ordinary inflation scenario the Higgs field is preassumed to be 'elementary' and its vacuum expectation value is a free parameter. We considered the possibility that the Higgs field is a composite field composed of a pair of fermions and investigated the cosmological consequences of this assumption. Our results are summarized as follows;
(1)As a prototype model of the composite Higgs model we adopt the Nambu-Jona-Lasinio model and studied the phase structure of the model under the condition of the early universe with curved space-time and high temperature and density. We found the 2nd order phase transition.
(2)We studied the phase structure of Abelian gauge theories at finite temperature by using the Schwinger-Dyson equation in the real time formalism. We found the clear signal of the 2nd order phase transition.
(3)We examined the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term in the 1/N expansion method at finite temperature and curvature. We find that the 1st and 2nd order phase transition may take place depending on the strength of the coupling constant and the soft breaking constant.
The above results were applied to the universe in the inflationary era and we find that the cosmic strings may be produced in this era.

Report

(4 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • 1996 Annual Research Report
  • Research Products

    (55 results)

All Other

All Publications (55 results)

  • [Publications] J.Hashida et al.: "Model of Curvature-Induced Phase Transitions in the Inflationary Universe"Phys.Rev.D. 59. 101302 1-101302 4 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Hashida et al.: "Pattern of Chiral Symmetry Restoration at Finite Temperature in a Supersymmetric Composite Model"Phys.Lett.B. 451. 343-348 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Hashida et al.: "Thermal Restoration of Chiral Symmetry in Supersymmetric Nambu-Jona-Lasinio Model with Soft SUSY Breaking"Mod.Phys.Lett.A. 13. 1235-1240 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Mukaigawa et al.: "Finite Grand Unified Theories and Inflation"Intern.J.Mod.Phys.A. 13. 2739-2745 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Inagaki et al.: "Dynamical Symmetry Breaking in Curved Spacetime"Prog.Theor.Phys.Suppl. 127. 93-193 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Inagaki et al: "Curvature Induced Dynamical Symmetry Restoration in Einstein Universe(R・S^<D-1>)"Mod.Phys.Lett.A. 11. 939-948 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Inagaki et al.: "Exact Solution of the Equation for Spinor Two-Point Functions in Einstein Universe"Prog.Theor.Phys. 96. 847-852 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Nasuno et al.: "Renormalization of Gauge-Invariant Operators for the Structure Function g_2 (x,Q^2)"Prog.Theor.Phys. 99. 315-320 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Kiyo et al.: "Quark Mass Hierarchy,FCNC and CP Violation in a Seeaw Model"Prog.Theor.Phys. 101. 671-706 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Hashimoto et al.: "Lattice study of B→πSemileptonic Decay using Nonrelativistic Lattice QCD"Phis.Rev.D. 58. 014502 1-014502 17 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Bando et.al.: "Predictions of m_b/m_τand m_tin an Asymptotically Nonfree Theory"Phys.Rev.D. 56. 1589-1597 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J. Hashida et al.: "Model of Curvature-Induced Phase Transitions in the Inflationary Universe."Phys. Rev. D.. 59,101302. 1-4 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J. Hashida et al.: "Pattern of Chiral Symmetry Restoration at Finite Temperature in a Supersymmetric Composite Model."Phys. Lett. B.. 451. 343-348 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J. Hashida et al.: "Thermal Restoration of Chiral Symmetry in Supersymmetric Nambu-Jona-Lasinio Model with Soft SUSY Breaking."Mod. Phys. Lett. A.. 13. 1235-1240 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Mukaigawa et al.: "Finite Grand unified Theories and Inflation."Intern. J. Mod. Phys. A.. 13. 2739-2745 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Inagaki et al.: "Dynamical Symmetry Breaking in Curved Spacetime."Prog. Theor. Phys. Suppl.. 127. 93-193 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Inagaki et al.: "Curvature Induced Dynamical Symmetry Restoration in Einstein Universe (R・SィイD1D-1ィエD1)"Mod. Phys. Lett. A.. 11. 939-948 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T. Inagaki et al.: "Exact Solution of the Equation for Spinor Two-Point Functions in Einstein Universe."Prog. Theor. Phys.. 99. 315-320 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Kiyo et al.: "Quark Mass Hierarchy, FCNC and CP Violation in a Seesaw Model."Prog. Theor. Phys.. 101. 671-706 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Hashimoto et al.: "Lattice Study of B →π Semileptonic Decay using Nonrelativistic Lattice QCD."Phys. Rev. D.. 58,0145021. 1-17 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Bando et al.: "Predictions of mィイD2bィエD2/mィイD2τィエD2 and mィイD2tィエD2 in an Asymptotically Nonfree theory."Phys. Rev. D.. 56. 1589-1597 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Hashida et al.: "Model of Curvature-Induced Phase Transitions in the Inflationary Universe" Phys.Rev.D. 59. 101302 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Hashida et al.: "Pattern of Chiral Symmetry Restoration at Finite Temperature in a Supersymmetric Composite Model" Phys.Lett.B. 451・3-4. 343-348 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Hashida et al.: "Thermal Restoration of Chiral Symmetry in Supersymmetric Nambu-Jona-Lasinio Model with Soft SUSY Breaking" Mod.Phys.Lett.A. 13・15. 1235-1240 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Mukaigawa et al.: "Finite Grand Unified Theories and Inflation" Intern.J.Mod.Phys.A. 13・16. 2739-2745 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Inagaki et al.: "Dynamical Symmetry Breaking in Curved Spacetime" Prog.Theor.Phys.Suppl.127. 93-193 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Kodaira et al.: "QCD Corrections to Spin Correlations in Top Quark Production at Lepton Colliders" Phys.Rev.D. 59. 1-16 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Kodaira et al.: "Renormalization of Gauge Invariant Operators for The Structure Function G2(x, Q^<**>2)" Prog.Theor.Phys.99. 315-320 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Kawamura et al.: "Renormalization of Twist-4 Operators in QCD Bjorken and Ellis-Jaffe Sum Rules" Mod.Phys.Lett.A. 12. 135-143 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Fukae et al.: "A Model Independent Analysis of the Rare B Decay B->X(s) II" Phys.Rev.D. 59 (to be published). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Kiyo et al.: "Quark Mass Hierarchy, FCNC and CP Violation in a Seesaw Model" Prog.Theor.Phys.10 (to be poblished). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Morozumi et al.: "The Top Quark Mass and Flavor Mixing in A Seesaw Model of Quark Masses" Phys.Lett.B.410. 233 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Hashimoto et al.: "Lattice Study of B ->π Semileptonic Decay Using Nonrelativistic Lattice QCD" Phys.Rev.D. 58. 014502 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] B.J.Gough et al.: "The Light Quark Masses from Lattice Gauge Theory" Phys.Rev.Lett.79. 1622-1625 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Muta: "Dynamical Symmetry Breaking in Curved Spacetime" Prog.Theor.Phys.Suppl.127. 93-193 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Muta: "Finite Grand Unified Theories and Inflation" Intern.J.Mod.Phys.Vol.A. (to be published. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Kiyo: "Does Leading In x Ressumation Predict the Rise of g_1 at small x?" Zeitschrift fur Physik C. C74. 631-639 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] J.Kodaira: "Renormalization of Gauge-Invariant Operators for the Structure function g_2 (x,O^2)" Progress of Theoretical Physics. 99-2(掲載予定). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Bando et al.: "Predictions of m_b/m_c and m_t in an asymptotically nonfree theory" Physical Review D. 56. 1589-1597 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] B.J.Gough et al.: "The Light Quark Mass from Lattice Gauge Theory" Physical Review Letters. 79. 1622-1625 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K-I.Ishikawa et al.: "f_B with Lattice NRQCD including 0 (1/m^2) corrections" Physical Review D. 56. 7028-7038 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Hashimoto et al.: "Lattice Study of B→PI Semileptonic Decay using Nonrelativistic Lattice OCD" Physical Review D. (掲載予定).

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Morozumi: "The top quark mass and flavor mixing in a seesau model of quark masses" Physics Letters B. 410. 233-240 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Morozumi: "B→Xg,I^+I^- (g=d、s) and determination of |Vtd/Vts|" Physical Review D. 56. 7240-7246 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Morozumi: "Power corrections in the decay rate and distributions in B→Xs,I^+I^- in the standard model" Physical Review D. 55. 4105-4128 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Morozumi: "Determination of |Vtd/Vts| within the standard model" World Scientific (Proceedingsの一部として掲載予定), 5 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] T. Inagaki: "Exact Solution of the Equation for Spinor Two-Point Functions in Einstein Universe" Prog. Theor. Phys.96・4. 847-852 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T. Inagaki: "Curvature Induced Dynamical Symmetry Restoration in Eintein Universe (R 【cross product】 S^<D-1>)" Mod. Phys. Lett. A. 11・11. 939-948 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] X. -H. Guo: "B-S Equation Analysis of Heavy Baryon Decays" Mod. Phys. Lett. A. 11・18. 1523-1528 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] X. -H. Guo: "Isgur-Wise Function for Λ_b→Λ_c in the BS Approach" Phys. Rev. D. 54・7. 4629-4634 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H. Kawamura: "Renomalization of Twist-4 Operators in QCD Bjorken and Ellis-Jaffe Sum Rules" Mod. Phys. Lett. A. 384・4 (in press). 855-860 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] J. Kodaira: "QCD Corrections to the Nucleon's Spin Structue Function g_2 (x, Q^2)" Phys. Lett. B.

    • Related Report
      1996 Annual Research Report
  • [Publications] A. Ali: "Power Corrections in the decay rate and distributions in B→Xsl^+l^- in the standard model" Phys. Rev. D. 55 (in press). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] B. Gough: "Effects of Improvement : F (PI) and M (Q)" Nuclear Physics B, Proceeding Supplement. 47. 333-335 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T. Onogi: "The Light Quark Masses from Lattice Gauge Theory" Nuclear Physics B, Proceeding Supplement. (in press).

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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