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Non-perturbative construction of non-abelian chiral gauge theories on four and two-dimensional lattice and numerical applications

Research Project

Project/Area Number 17540249
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 InstitutionThe University of Tokyo (2006-2007)
Nagoya University (2005)

Principal Investigator

KIKUKAWA Yoshio  The University of Tokyo, Graduate school of Arts and Sciences, Associate Professor (20252421)

Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥2,080,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥700,000 (Direct Cost: ¥700,000)
KeywordsQuantum Field Theory / Lattice Gauge Theory / chiral symmetry / Gauge anomaly / chiral gauge theory / Weinberg-Salam model / GINSPARG-WILSON関係式 / トポロジー / 量子異常
Research Abstract

Non-abelian chiral gauge theory posseses several interesting dynamical possibilities such as spontaneous gauge symmetry breaking, appearance of composite massless fermions, generation of fermion number asymmetry due to chiral anomaly and so on. These dynamical properties may be useful to build the model of elementary particles beyond the standard model. The purpose of this research is to construct chiral gauge theories non-perturbatively and to study dynamical aspects of these theories in the framework of lattice field theory.
In lattice gauge theory, to keep gauge invariance, one must establish the exact cancellation of gauge anomalies among chiral fermions, not only in the continuum limit, but also at finite lattice spacing. To achieve this, it is necessary to find a solution to so-called local cohomology problem. So far, only in U(1) theories, a solution has been known.
In our study, we have given a solution to the local cohomology problem in SU(2) x U(1) theory. Furthermore, we have given a non-perturbative formulation of the Glashow-Weinberg-Salam model (the Electroweak theory) on the lattice with exact gauge invariance. Our construction covers all SU(2) topological sectors with vanishing magnetic fluxes. Therefore it may be usable to describe the fermion number non-conservation in the early universe.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (15 results)

All 2008 2007 2005

All Journal Article (13 results) (of which Peer Reviewed: 6 results) Presentation (2 results)

  • [Journal Article] A conatruction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance2008

    • Author(s)
      D.Kadoh, Y.Kikukawa
    • Journal Title

      JHEP (Journal of High Energy Physics) 05

      Pages: 33-33

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A simple conatruction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance2008

    • Author(s)
      D.Kadoh, Y.Kikukawa
    • Journal Title

      JHEP (Journal of High Energy Physics) 02

      Pages: 30-30

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance2008

    • Author(s)
      D.Kadoh, Y.Kikukawa
    • Journal Title

      JHEP 0805:095

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A simple construction of fermion measure term in U(1)chiral lattice gauge theories with exact gauge invariance2008

    • Author(s)
      D.Kadoh, Y.Kikukawa
    • Journal Title

      JHEP 0802:063

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance2008

    • Author(s)
      Daisuke Kadoh, Yoshio Kikukawa
    • Journal Title

      JHEP (Journal of high energy physics) 0802

      Pages: 63-63

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large N(f) and Electroweak phase transition2008

    • Author(s)
      Yoshio Kikukawa, Masaya Kohda, Junichiro Yasuda
    • Journal Title

      Phys. Rev. (Physical Review) D77

      Pages: 15014-15014

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Four-dimensional lattice chiral gauge theories with anomalous fermion content2007

    • Author(s)
      Y.Kikukawa, H.Suzuki
    • Journal Title

      JHEP (Journal of High Energy Physics) 10

      Pages: 18-18

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Four-dimensional lattice chiral gauge theories with anomalous fermion content2007

    • Author(s)
      Y.Kikukawa, H.Suzuki
    • Journal Title

      JHEP 0710:018

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Four-dimensional lattice chiral gauge theories with anomalous fermion content2007

    • Author(s)
      Yoshio Kikukawa, Hiroshi Suzuki
    • Journal Title

      JHEP (Journal of high energy physics) 0710

      Pages: 18-18

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Neutron electric dipole moment with external electric field method in lattice QCD2007

    • Author(s)
      E.Shintani, S.Aoki, N.Ishizuka, K.Kanaya, Y.Kikukawa, Y.Kuramashi, M.Okawa, A.Ukawa, T.Yoshie
    • Journal Title

      Physical Review D75

      Pages: 34507-34507

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Neutron electric dipole moment from lattice QCD2005

    • Author(s)
      E.Shintani, S.Aoki, N.Ishizuka, K.Kanaya, Y.Kikukawa, Y.Kuramashi, M.O.Okawa, Y.Taniguchi, A.Ukawa, T.Yoshio
    • Journal Title

      Physical Review D72

      Pages: 14504-14504

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A local formulation of lattice Wess-Zumino model with exact U(1)R symmetry2005

    • Author(s)
      Y.Kikukawa, H.Suzuki
    • Journal Title

      JHEP 0502

      Pages: 12-12

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A numerical solution to the local cohomology problem in U(1) chiral gauge theories2005

    • Author(s)
      D.Kadoh, Y.Kikukawa
    • Journal Title

      JHEP 0501

      Pages: 24-24

    • Related Report
      2005 Annual Research Report
  • [Presentation] A conatruction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance2008

    • Author(s)
      Y.Kikukawa
    • Organizer
      26th International Symposium on Lattice Field Theory (Lattice 2008)
    • Place of Presentation
      College of William & Mary, Virginia, USA
    • Year and Date
      2008-07-16
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance2008

    • Author(s)
      Y.Kikukawa
    • Organizer
      26rd International Symposium on Lattice Field Theory(Lattice 2008)
    • Place of Presentation
      College of William & Mary, Virginia, USA
    • Year and Date
      2008-07-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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