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Dynamical Symmetry Breaking of Gauge Theories in Critical Situations and Space-time Structure

Research Project

Project/Area Number 18540276
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionHiroshima University

Principal Investigator

INAGAKI Tomohiro  Hiroshima University, 情報メディア教育研究センター, 准教授 (80301307)

Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,180,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥780,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Keywords素粒子論 / ゲージ場の量子論 / 動的対称性の破れ / カイラル対称性 / 曲がった時空の場の量子論 / 有限温度系の場の量子論 / 自発的対称性の破れ / 宇宙定数問題
Research Abstract

Dynamical symmetry breaking in the gauge theory and its contribution to the space-time structure have been investigated under extreme circumstance, i.e.high temperature, high density, strong curvature and compact space-time. I have pointed out the usefulness of the dimensional regularization for an effective theory and found phenomena with a large regularization dependences. It gives us some predictions to judge the suitable circumstance to apply the effective theory.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (57 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (22 results) (of which Peer Reviewed: 18 results) Presentation (35 results)

  • [Journal Article] Phase structure of multifermion interaction models in weakly curved space-time2009

    • Author(s)
      M. Hayashi, T. Inagaki, H. Takata
    • Journal Title

      Int. J. Mod. Phys A24

      Pages: 5363-5379

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] High density quark matter in the Nambu-Jona-Lasinio model with dimensional versus cutoff regularization2009

    • Author(s)
      T. Fujihara, D. Kimura, T. Inagaki, A. Kvinikhidze
    • Journal Title

      Phys. Rev D79

      Pages: 96008-96008

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] High density quark matter in the NJL model with dimensional vs.cut-off regularization2009

    • Author(s)
      T.Fujihara, D.Kimura, T.Inagaki, A.Kvinikhidze
    • Journal Title

      Physical Review D79

      Pages: 96008-96008

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase Structure of Multifermion Interaction Models in Weakly Curved Space-time2009

    • Author(s)
      M.Hayashi, T.Inagaki, H.Takata
    • Journal Title

      International Journal of Modern Physics A24

      Pages: 5363-5379

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermal and curvature effects to spontaneous symmetry breaking in $\phi^4$ theory2009

    • Author(s)
      T.Hattori, M.Hayashi, T.Inagaki, Y.Kitadono
    • Journal Title

      J. Phys.A : Math. Gen 39

      Pages: 6441-6444

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] πandσMesons at Finite Temperature and Density in the NJL Model with Dimensional Regularization2008

    • Author(s)
      T. Inagaki, D. Kimura, A. Kvinikhideze
    • Journal Title

      Phys. Rev D77

      Pages: 116004-116004

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Reconsideration of the 2-flavor NJL model with dimensional regularization at finite temperature and density2008

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura, A. Kvinikhidze
    • Journal Title

      Prog. Theor. Phys. Suppl 174

      Pages: 72-75

    • NAID

      110006975730

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] π and σ Mesons at Finite Temperature and Density in the NJL Model with Dimensional Regularization2008

    • Author(s)
      T. Inagaki, D. Kimura and A. Kvinikhideze
    • Journal Title

      Phys. Rev. D77

      Pages: 116004-116004

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Reconsideration of the 2-flavor NJL model with dimensional regularization at finite temperature and density2008

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura and A. Kvinikhidze
    • Journal Title

      Prog. Theor. Phys. Suppl 174

      Pages: 72-75

    • NAID

      110006975730

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] π and σ Mesons at Finite Temperature and Density in the NJL Model with Dimensional Regularization2008

    • Author(s)
      T. Inagaki, D. Kimura, A. Kvinikhideze
    • Journal Title

      Physical Review D77

      Pages: 116004-116004

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reconsideration of the 2-flavor NJL Model with Dimensional Regularization at Finite Temperature and Density2008

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura, A. Kvinikhideze
    • Journal Title

      Progress of Theoretical Physics Supplement 174

      Pages: 72-75

    • NAID

      110006975730

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Influence of QED corrections on the orientation of chiral symmetry breaking in the NJL model2007

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura
    • Journal Title

      Prog. Theor. Phys 117

      Pages: 139-160

    • NAID

      210000111656

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Influence of QED corrections on the orientation of chiral symmetry breaking in the NJL model2007

    • Author(s)
      T. Fujihara, T. Inagaki, D. Ki
    • Journal Title

      Prog. Theor. Phys 117

      Pages: 139-160

    • NAID

      210000111656

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Influence of QED corrections on the orientation of chiral symmetry breaking in the NJL model2007

    • Author(s)
      Takahiro Fujihara
    • Journal Title

      Progress of Theoretical Physics 117

      Pages: 139-160

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Radiative symmetry breaking and dynamical origin of cosmological constant inφ4 theory with non-linear curvature coupling2006

    • Author(s)
      T. Inagaki
    • Journal Title

      J. Phys. A: Math. Gen 39

      Pages: 6455-6462

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Thermal and curvature effects to spontaneous symmetry breaking inφ4 theory2006

    • Author(s)
      T. Hattori, M. Hayashi, T. Inagaki, Y. Kitadono
    • Journal Title

      J. Phys. A: Math. Gen 39

      Pages: 6441-6444

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Color superconductivity and radius of quark star in extended NJL model by using the dimensional regularization2006

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura
    • Journal Title

      J. Phys. A: Math. Gen 39

      Pages: 6371-6375

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Radiative symmetry breaking and dynamical origin of cosmological constant in φ^4 theory with non-linear curvature couplin2006

    • Author(s)
      T.Inagaki
    • Journal Title

      J.Phys. A : Math. Gen 39

      Pages: 6455-6462

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Radiative symmetry breaking and dynamical origin of cosmological constant in φ^4 theory with non-linear curvature coupling2006

    • Author(s)
      Tomohiro Inagaki
    • Journal Title

      Journal of Physics A : Mathematics and General 39

      Pages: 6455-6462

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Thermal and curvature effects to spontaneous symmetry breaking inφ^4 theory2006

    • Author(s)
      Takeshi Hattori
    • Journal Title

      Journal of Physics A : Mathematics and General 39

      Pages: 6441-6444

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Color superconductivity and radius of quark star in extended NJL model by using the dimensional regularization2006

    • Author(s)
      Takahiro Fujihara
    • Journal Title

      Journal of Physics A : Mathematics and General 39

      Pages: 6371-6375

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Curvature and topological effects on dynamical symmetry breaking in a four-and eight-fermion interaction model

    • Author(s)
      M. Hayashi, T. Inagaki
    • Journal Title

      Int. J. Mod. Phys. A (掲載決定)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Presentation] 次元正則化による4体及び8体フェルミ相互作用模型の有限温度相構造解析2010

    • Author(s)
      坂元渉, 稲垣知宏, 木村大自, 林雅子
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非平衡λ_φ^4模型と自発的対称性の破れ2010

    • Author(s)
      水谷友一, 稲垣知宏
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Yukawa Type Interaction in Non-Equilibrium Thermofield Dynamics2010

    • Author(s)
      T. Inagaki, Y. Mizutani
    • Organizer
      Cosmology, the Quantum Vacuum, and Zeta Functions
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2010-03-10
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Topological and curvature effects in a multi-fermion interaction model2009

    • Author(s)
      T. Inagaki
    • Organizer
      2009 Nagoya Global COE Workshop "Strong Coupling Gauge Theories in LHC Era"
    • Place of Presentation
      Nagoya, Japan
    • Year and Date
      2009-12-09
    • Related Report
      2009 Final Research Report
  • [Presentation] Topological and curvature effects in a multi-fermion interaction model2009

    • Author(s)
      稲垣知宏
    • Organizer
      Strong Coupling Gauge Theories in LHC Era
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-12-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] NJL model with dimensional regularization at finite temperature2009

    • Author(s)
      T.Fujihara, T.Inagaki, D.Kimura, H.Kohyama, A.Kvinikhideze
    • Organizer
      Strong Coupling Gauge Theories in LHC Era
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-12-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 曲がった時空における8体フェルミ模型での相構造に対する曲率の効果2009

    • Author(s)
      林雅子, 稲垣知宏, 高田浩行
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      甲南大学
    • Year and Date
      2009-09-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非平衡 Thermo-Field Dynamics から導かれる粒子数分布の解析2009

    • Author(s)
      水谷友一, 稲垣知宏
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      甲南大学
    • Year and Date
      2009-09-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] Phase structure in PNJL models with dimensional regularization2009

    • Author(s)
      林雅子, 稲垣知宏
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2009-09-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非平衡 Thermo-Field Dynamics より導かれる Boltzmann-like 方程式の解析2009

    • Author(s)
      水谷友一, 稲垣知宏
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2009-09-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Dense star mass/radius in the NJL model with dimensional vs.cut-off regularization2009

    • Author(s)
      稲垣知宏
    • Organizer
      Summer Institute 2009
    • Place of Presentation
      富士吉田市
    • Year and Date
      2009-08-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非平衡Thermo-Field Dynamicsによるλφ^4相互作用模型の解析2009

    • Author(s)
      水谷友一, 稲垣知宏
    • Organizer
      日本物理学会第64回年会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Topological and curvature effects to dynamical symmetry breaking in multi-fermion interaction models2009

    • Author(s)
      T. Inagaki
    • Organizer
      The Directions of Modern Cosmology
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2009-03-02
    • Related Report
      2009 Final Research Report 2008 Annual Research Report 2008 Self-evaluation Report
  • [Presentation] Thermo-field Dynamicsによる湯川型相互作用模型の非平衡効果の解析2008

    • Author(s)
      水谷友一, 稲垣知宏
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] 次元正則化によるPNJL模型の有限温度効果の解析2008

    • Author(s)
      林雅子, 稲垣知宏
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] 次元正則化によるPNJL模型の有限温度相構造の解析2008

    • Author(s)
      林雅子, 稲垣知宏
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2008-09-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] Thermo-Field Dynamicsによる湯川型相互作用模型の非平衡的な振舞いの解析2008

    • Author(s)
      水谷友一, 稲垣知宏
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2008-09-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dimensional Regularized NJL and Extended NJL Model2008

    • Author(s)
      T. Inagaki
    • Organizer
      Summer Institute 2008
    • Place of Presentation
      Chi-Tou, Taiwan
    • Year and Date
      2008-08-15
    • Related Report
      2009 Final Research Report 2008 Annual Research Report 2008 Self-evaluation Report
  • [Presentation] Phase structure of an Eight-Fermion Interaction Mode1 in Curved Space-Time2008

    • Author(s)
      M. Hayashi, T. Inagaki, T. Takata
    • Organizer
      Summer Institute 2008
    • Place of Presentation
      Chi-Tou, Taiwan
    • Year and Date
      2008-08-15
    • Related Report
      2008 Annual Research Report
  • [Presentation] 非平衡Thermo-Field Dynamicsの湯川型相互作用模型への応用2008

    • Author(s)
      水谷友一、稲垣知宏
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Reconsideration of the 2-flavor NJL model with dimensional regularization at finite temperature and density2008

    • Author(s)
      T. Inagaki
    • Organizer
      YITP International Symposium Fundamental Problems in Hot and/or Dense QCD
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2008-03-03
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] Reconsideration of the 2-flavor NJL model with dimensional regularization at finite temperature and density2008

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura, A. Kvinikhideze
    • Organizer
      YITP International Symposium Fundamental Problems in Hot and/or Dense QCD
    • Place of Presentation
      京都大学
    • Year and Date
      2008-03-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] 拡張NJL模型における異なる正則化によるクォーク対凝縮の比較2007

    • Author(s)
      木村大自、藤原隆浩、稲垣知宏
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] 4体フェルミ相互作用模型の非平衡的な取扱いについて2007

    • Author(s)
      水谷友一、稲垣知宏
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] 4-Fermion相互作用モデルでの有限温度・有限曲率におけるD次元時空の進化2007

    • Author(s)
      林雅子、稲垣知宏
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-09-05
    • Related Report
      2007 Annual Research Report
  • [Presentation] Thermal and Curvature Effects for an Evolution of Curved Space in a Four-Fermion Interaction Model2007

    • Author(s)
      M. Hayashi, T. Inagaki
    • Organizer
      VIII Asia-Pacific International Conference on Gravitation and Astrophysics (ICGA8)
    • Place of Presentation
      Nara, Japan
    • Year and Date
      2007-08-29
    • Related Report
      2009 Final Research Report
  • [Presentation] Thermal and Curvature Effects for an Evolution of Curved Space in a Four-Fermion Interaction Model2007

    • Author(s)
      M. Hayashi, T. Inagaki
    • Organizer
      VIII Asia-Pacific International Conference on Gravitation and Astrophysics
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2007-08-29
    • Related Report
      2007 Annual Research Report
  • [Presentation] NJL model at finite temperature and chemical potential in dimensional regularization2007

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura, A. Kvinikhideze
    • Organizer
      EXPLORING QCD: Deconfinement, Extreme Environments and Holography
    • Place of Presentation
      ケンブリッジ、イギリス
    • Year and Date
      2007-08-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] Thermal and Curvature Effects for an Evolution of Curved Space in a Four-Fermion Interaction Model2007

    • Author(s)
      M. Hayashi, T. Inagaki
    • Organizer
      Summer Institute 2007
    • Place of Presentation
      富士吉田市
    • Year and Date
      2007-08-09
    • Related Report
      2007 Annual Research Report
  • [Presentation] Static solution of Einstein equations in NJL model at finite T and mu2007

    • Author(s)
      T. Inagaki
    • Organizer
      The International School/Seminar Quantum Field Theory and Gravity
    • Place of Presentation
      Tomsk, Russia
    • Year and Date
      2007-07-05
    • Related Report
      2009 Final Research Report
  • [Presentation] Static solution of Einstein equations in NJL model at finite T and mu2007

    • Author(s)
      T. Inagaki
    • Organizer
      The International School/Seminar Quantum Field Theory and Gravity
    • Place of Presentation
      トムスク、ロシア
    • Year and Date
      2007-07-05
    • Related Report
      2007 Annual Research Report
  • [Presentation] NJL model at finite temperature and chemical potential in dimensional regularization2007

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura, A. Kvinikhideze
    • Organizer
      Nagoya Mini Workshop "Chiral symmetry in hot and/or dense matter"
    • Place of Presentation
      名古屋大学
    • Year and Date
      2007-06-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Phase structure of NJL model with finite quark mass and QED correction2006

    • Author(s)
      T. Fujihara, T. Inagaki, D. Kimura
    • Organizer
      Origin of Mass and Strong Coupling Gauge Theories
    • Place of Presentation
      Nagoya, Japan
    • Year and Date
      2006-11-22
    • Related Report
      2009 Final Research Report
  • [Presentation] Color Superconducting Phase and Radius of Dense Star in Dimensional Regularized Extended NJL Model2006

    • Author(s)
      T. Inagaki
    • Organizer
      oint Meeting of Pacific Region Particle Physics Communities
    • Place of Presentation
      Hawaii, USA
    • Year and Date
      2006-11-01
    • Related Report
      2009 Final Research Report
  • [Presentation] Color Superconducting Phase and Radius of Dense Star in Dimensional Regularized Extended NJL Model2006

    • Author(s)
      T.Inagaki
    • Organizer
      Joint Meeting of Pacific Region Particle Physics Communitie
    • Place of Presentation
      Hawaii, USA
    • Year and Date
      2006-11-01
    • Related Report
      2008 Self-evaluation Report

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Published: 2006-04-01   Modified: 2016-04-21  

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