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Analysis of the chiral symmetry breaking by non-perturbative renormalization group

Research Project

Project/Area Number 13440076
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionKanazawa University

Principal Investigator

AOKI Ken-Ichi  Kanazawa University, Graduate School of Science, Professor, 自然科学研究科, 教授 (00150912)

Co-Investigator(Kenkyū-buntansha) SUZUKI Tsuneo  Kanazawa University, Graduate School of Science, Professor, 総合メディア基盤センター, 教授 (60019502)
TERAO Haruhiko  Kanazawa University, Graduate School of Science, Associate Professor, 自然科学研究科, 助教授 (40192653)
IZUBUCHI Taku  Kanazawa University, Graduate School of Science, Assistant, 自然科学研究科, 助手 (60324068)
駒 佳明  金沢大学, 理学部, 助手 (00334748)
Project Period (FY) 2001 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥12,500,000 (Direct Cost: ¥12,500,000)
Fiscal Year 2004: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2003: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2002: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2001: ¥8,400,000 (Direct Cost: ¥8,400,000)
Keywordsnon-perturbative / renormalization group / chiral symmetry / gauge theory / tunneling / spontaneous symmetry breaking / effective interactions / phase structure / QCD / シミュレーション / クォーク質量 / カイラル擬縮 / 対称性の自発的破れ / 格子ゲージ理論 / 有限温度
Research Abstract

The spontaneous breakdown of the chiral symmetry and its phase structure due to the strong interaction is an important issue for understanding the origin of the mass of elementary particles and for the basic properties of states at high temperature and at high density. This research project serves to develop the analysis method of the low energy effective theory of the quantum chromodynamics by using the non-perturbative renormalization group. We calculate the effective potential to describe the spontaneous breakdown of the chiral symmetry and investigate the basic techniques to analyze the phase structures.
In the medium of the non-zero density of the baryon number, the previously adopted way of finding the spontaneous symmetry breaking of the chiral symmetry is found to be incorrect. It is necessary to incorporate the auxiliary fields to describe the correct renormalization group flows. Also we need the finite density corrections to the QCD beta function. These are the next subjects t … More o be attacked.
In order to deeply understand the fundamental issues of the dynamics of the spontaneous symmetry breakdown, we apply the non-perturbative renormalization group method to the quantum mechanics of one-dimensional potential problem including the so-called double well potential. We develop the decimation renormalization group method and successfully calculate the free energy with quite a high precision. Also we attacked the dissipative quantum systems by this method to evaluate the critical dissipation causing the quantum to classical phase transition. Our results are different quantitatively from the previous calculations using the instanton method with the perturbation theory. Detailed comparison will be in order.
Using the Monte Carlo simulation of the lattice QCD, some important features are obtained about the high temperature and finite densiy QCD, which have been carried out mainly by co-investigators. These basic results will serve for future analyses for the high density phase transition and the color super conductivity transitions. Less

Report

(5 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (48 results)

All 2005 2004 2003 2002 2001 Other

All Journal Article (37 results) Publications (11 results)

  • [Journal Article] Entropy of spatial monopole currents in pure SU(2) QCD at finite temperature2005

    • Author(s)
      M.N.Chernodub, K.Ishiguro, T.Suzuki
    • Journal Title

      Phys. Rev. D71

      Pages: 94506-94506

    • NAID

      120000810072

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The dual Meissner effect and magnetic displacement currents2005

    • Author(s)
      T.Suzuki, K.Ishiguro, Y.Mori, T.Sekido
    • Journal Title

      Phys. Rev. Lett. 94B

      Pages: 132001-132001

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] LARGE MASS SCALE BY STRONG GAUGE DYNAMICS WITH INFRARED FIXED POINT2005

    • Author(s)
      T.Kobayashi, H.Nakano, H.Terao, Theor.Phys.
    • Journal Title

      Prog. Theor. Phys. 113

      Pages: 413-427

    • NAID

      110001219839

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] STATIC ANTI-Q-Q POTENTIAL FROM N(F) = 2 DYNAMICAL DOMAIN-WALL QCD2005

    • Author(s)
      RBC Collaboration (K.Hashimoto, T.Izubuchi)
    • Journal Title

      Nucl. Phys. Proc. Suppl. 140

      Pages: 341-343

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] HADRON SPECTRUM AND DECAY CONSTANT FROM N(F) = 2 DOMAIN WALL QCD2005

    • Author(s)
      RBC Collaboration (Taku Izubuchi)
    • Journal Title

      Nucl. Phys. Proc. Suppl. 140 140

      Pages: 237-239

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Entropy of spatial monopole currents in pure SU(2) QCD at finite temperature2005

    • Author(s)
      M.N.Chernodub, K.Ishiguro, T.Suzuki
    • Journal Title

      Phys.Rev.D 71

      Pages: 94506-94506

    • NAID

      120000810072

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The dual Meissner effect and magnetic displacement currents2005

    • Author(s)
      T.Suzuki, K.Ishiguro, Y.Mori, T.Sekido
    • Journal Title

      Phys.Rev.Lett. 94

      Pages: 132001-132001

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] LARGE MASS SCALE BY STRONG GAUGE DYNAMICS WITH INFRARED FIXED POINT2005

    • Author(s)
      T.Kobayashi, H.Nakano, H.Terao, Y.Yamada
    • Journal Title

      Prog.Theor.Phys. 113

      Pages: 413-427

    • NAID

      110001219839

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] STATIC ANTI-Q - Q POTENTIAL FROM N(F) = 2 DYNAMICAL DOMAIN-WALL QCD.2005

    • Author(s)
      RBC Collaboration (Koichi Hashimoto, Taku Izubuchi )
    • Journal Title

      Nucl.Phys.Proc.Suppl. 140

      Pages: 341-342

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] HADRON SPECTRUM AND DECAY CONSTANT FROM N(F) = 2 DOMAIN WALL QCD2005

    • Author(s)
      RBC Collaboration (Taku Izubuchi)
    • Journal Title

      Nucl.Phys.Proc.Suppl. 140

      Pages: 237-239

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Hadron Spectrum and Decay Constant From N(F)=2 Domain Wall QCD2005

    • Author(s)
      Taku Izubuchi(RBC coll.)
    • Journal Title

      Nucl.Phis.Rroc. 140(Suppl.)

      Pages: 237-239

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Static Anti-Q-Q Potential From N(F)=2 Dynamical Domain-Wall QCD2005

    • Author(s)
      Koichi Hashimoto, Taku Izubuchi(RBC coll.)
    • Journal Title

      Nucl.Phys.Proc. 140(Suppl.)

      Pages: 341-343

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Determination of monopole condensate from monopole action in quenched SU(2) QCD2004

    • Author(s)
      M.N.Chernodub, K.Ishiguro, T.Suzuki
    • Journal Title

      Phys. Rev. D69

      Pages: 94508-94508

    • NAID

      120000809443

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] SCALAR MESON IN DYNAMICAL AND PARTIALLY QUENCHED TWO-FLAVOR QCD : LATTICE RESULTS AND CHIRAL LOOPS.2004

    • Author(s)
      S.Prelovsek, C.Dawson, T.Izubuchi, K.Orginos, A.Soni
    • Journal Title

      Phys. Rev. D70

      Pages: 94503-94503

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Non-perturbative Renormalization Group Analysis for Dynamical Chiral Symmetry Breakingnin QCD2004

    • Author(s)
      K-I.Aoki
    • Journal Title

      Proc.International Conference on Color Confinement and Hadrons in Quantum Chromodynamicsi (World Scientific)

      Pages: 176-182

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Determination of monopole condensate from monopole action in quenched SU(2) QCD2004

    • Author(s)
      M.N.Chernodub, K.Ishiguro, T.Suzuki
    • Journal Title

      Phys.Rev.D 69

      Pages: 94508-94508

    • NAID

      120000809443

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] SCALAR MESON IN DYNAMICAL AND PARTIALLY QUENCHED TWO-FLAVOR QCD : LATTICE RESULTS AND CHIRAL LOOPS.2004

    • Author(s)
      S.Prelovsek, C.Dawson, T.Izubuchi, K.Orginos, A.Soni
    • Journal Title

      Phys.Rev.D 70

      Pages: 94503-94503

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Scalar Meson in Dynamical and Partially Quenched Two-Flavor QCD : Lattice Results and Chiral Loops2004

    • Author(s)
      S.Pielovsek, C.Dawson, T.Izubuchi, K.Orginos, A.Soni
    • Journal Title

      Physical Review Letters D70

      Pages: 94503-94503

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Suppressed supersymmetry breaking terms in the Higgs sector2004

    • Author(s)
      T.Kobayashi, H.Terao
    • Journal Title

      JHEP 0407

      Pages: 2-2

    • Related Report
      2004 Annual Research Report
  • [Journal Article] MSSM fine tuning problem and dynamical suppression of the Higgs mass parameters2004

    • Author(s)
      T.Kobayashi, H.Terao
    • Journal Title

      Proceedings of the 12th International Conference on Super Symmetry and Unification of Fundamental Interactions

      Pages: 4-4

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Non-perturbative renormalization group approach to the dynamical chiral symmetry breaking2003

    • Author(s)
      K-I.Aoki
    • Journal Title

      Proc. International Workshop on Strong Coupling Gauge Theories and Effective Field Theories (SCGT02) World Scientific

      Pages: 284-290

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A detailed study of the Abelian-projected SU(2) flux tube and its dual Ginzburg-Landau analysis2003

    • Author(s)
      Y.Koma, M.Koma, E.-M.Ilgenfritz, T.Suzuki
    • Journal Title

      Phys. Rev. D68

      Pages: 114504-114504

    • NAID

      120000817471

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Non-perturbative renormalizatoin group analysis of the Ohmic quantum dissipation2003

    • Author(s)
      K-I.Aoki, A.Horikoshi
    • Journal Title

      Phys.Lett.A 314

      Pages: 177-183

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Non-perturbative renormalization group approach to the dynamical chiral symmetry breaking2003

    • Author(s)
      K-I.Aoki
    • Journal Title

      Proc.International Workshop on Strong Coupling Gauge Theories and Effective Field Theories (SCGT02) (World Scientific)

      Pages: 284-290

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A detailed study of the Abelian-projected SU(2) flux tube and its dual Ginzburg-Landau analysis2003

    • Author(s)
      Y.Koma, M.Koma, E.-M.Ilgenfritz, T.Suzuki
    • Journal Title

      Phys.Rev.D 68

      Pages: 114504-114504

    • NAID

      120000817471

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Non-Perturbative Renormalization Group Analisys in Quantum Mechanics2002

    • Author(s)
      K-I.Aoki, A.Horikoshi, M.Taniguchi, H.Terao
    • Journal Title

      Prog. Theor. Phys. 108-3

      Pages: 571-590

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Nonpeturbative renormalization group approach for quantum dissipative systems2002

    • Author(s)
      K-I.Aoki, A.Horikoshi
    • Journal Title

      Phys. Rev. A66

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Non-perturbative renormalizatoin group analysis of the Ohmicquantum dissipati2002

    • Author(s)
      K-I.Aoki, A.Horikoshi
    • Journal Title

      Phys. Lett. A314

      Pages: 177-183

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] SFERMION MASS DEGENERACY, SUPERCONFORMAL DYNAMICS AND SUPERSYMMETRIC GRAND UNIFIED THEORIES2002

    • Author(s)
      T.Kobayashi, H.Nakano, T.Noguchi, H.Terao
    • Journal Title

      Phys. Rev. D66

      Pages: 95011-95011

    • NAID

      120000809105

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] MORE ABOUT KALUZA-KLEIN REGULARIZATION2002

    • Author(s)
      T.Kobayashi, H.Terao
    • Journal Title

      Prog. Theor. Phys. 107

      Pages: 785-792

    • NAID

      110001207590

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Non-Perturbative Renormalization Group Analysis in Quantum Mechanics2002

    • Author(s)
      K-I.Aoki, A.Horikoshi, M.Taniguchi, H.Terao
    • Journal Title

      Prog.Theor.Phys. 108-3

      Pages: 571-590

    • NAID

      110001207643

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Nonpeturbative renormalization group approach for quantum dissipative systems2002

    • Author(s)
      K-I.Aoki, A.Horikoshi
    • Journal Title

      Phys.Rev.A 66

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] SFERMION MASS DEGENERACY, SUPERCONFORMAL DYNAMICS AND SUPERSYMMETRIC GRAND UNIFIED THEORIES2002

    • Author(s)
      T.Kobayashi, H.Nakano, T.Noguchi, H.Terao
    • Journal Title

      Phys.Rev.D 66

      Pages: 95011-95011

    • NAID

      120000809105

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] MORE ABOUT KALUZA-KLEIN REGULARIZATION2002

    • Author(s)
      T.Kobayashi, H.Terao
    • Journal Title

      Prog.Theor.Phys. 107

      Pages: 785-792

    • NAID

      110001207590

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] NONPERTURBATIVE RENORMALIZABILITY OF GAUGED NJL MODEL IN THE LARGE N(C) LIMIT2001

    • Author(s)
      K.I.Kubota, H.Terao
    • Journal Title

      Surveys High Energ. Phys. 16

      Pages: 131-136

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] NONPERTURBATIVE RENORMALIZABILITY OF GAUGED NJL MODEL IN THE LARGE N(C) LIMIT2001

    • Author(s)
      K.I.Kubota, H.Terao
    • Journal Title

      Surveys High Energ.Phys. 16

      Pages: 131-136

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Large Mass Scale by Strong Gauge Dynamics with Infrared Fixed Point

    • Author(s)
      T.Kobayashi, H.Nakano, H.Terao, Y.Yamada
    • Journal Title

      Progress of Theoretical Physics (印刷中)(to be published)

    • NAID

      110001219839

    • Related Report
      2004 Annual Research Report
  • [Publications] T.Kobayashi, H.Nakano, H.Terao, K.Yoshiok: "Flavor violation in supersymmetric theories with gauged flavor symmetries"Prog.Theor.Phys.. 110. 247-267 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Kobayashi, J.Kubo, H.Terao: "Exact S_3 symmetry solving the supersymmetric flavor problem"Phys.Lett.B. 568. 83-91 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K-I.Aoki, A.Horikoshi: "Non-perturbative renormalizatoin group analysis of the Ohmic quantum dissipation"Phys.Lett.A. 314. 177-183 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K-I.Aoki: "Non-perturbative renormalization group approach to the dynamical chiral symmetry breaking"Strong Coupling Gauge Theories and Effective Field Theories(SCGT02), World Scientific. 284-290 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Z.Aoki, A.Horikoshi, M.Taniguchi, H.Terao: "Non-Perturbative Renormalization Group Analysis in Quantum Mechanics"Progr.Theor.Phys.. 108・3. 571-590 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Terao: "ERG and Schwinger-Dyson Equations -Comparison in fosmulatons and applications"Int.J.Mod.Phys. A16. 1913-1926 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Kobayashi, H.Terao: "More about Kalya-Klein Regularization"Progr.Theor.Phys.. 107. 785-792 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.I.Aoki, A.Horikoshi: "Non-perfurbative renormalization group approach for quantum dissipative systems"Phys.Rev.A. 66. 042105-1-042105-9 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Tatsuo Kobayashi, Hiroaki Nakano, Haruhiko Terao: "Yukawa Hierarchy Transfer from Superconformal Sector and Degenerate Sfermion Masses"Physical Review D. 65. 015006-1-015006-4 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tatsuo Kobayashi, Haruhiko Terao: "Stermion masses in Nelson-Strassler type of models : SUSY standard models coupled with SCFTs"Physical Review D. 64. 075003-1-075003-10 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Kuma, E.M. Ilgenfriz, H.Toki, T.Suzuki: "Casimir Scaling in a Dual Superwndncting Sunariu of Confinement"Physical Review D. 64. 011501-1-011501-6 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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