• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Nonperturbative comstruction of the standard model based on the Ginsparg-Wilson relation

Research Project

Project/Area Number 12640262
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 InstitutionNagoya University

Principal Investigator

KIKUKAWA Yoshio  Nagoya University Department of Physics Associate Professor, 大学院・理学研究科, 助教授 (20252421)

Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2000: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsLatice Gouge Theory / Chiral Symmetry / Chinel fermion / the Strundard model / Ginsparg-Wilson relation / GINSPARG-Wilson関係式 / カイラルアノマリー
Research Abstract

During the research period of 2000-2002, the following results were obtained :
1. Exact cancellation of gauge anomalies in SU(2)_L × U(1)_Y electroweak gauge theory
We performed a cohomological analysis of of the 4 + 2-dimensional topological field introduced by Luscher (1999). Through this, we have shown that if the anomaly-free conditions in terms of the hypercharge, Σ_γY_γ= 0 and Σ_γ Y^3_γ = 0, are satisfied, the gauge anomalies in lattice SU(2)_L × U(1)_Y electroweak gauge theory cancel exactly at a finite lattice spacing.
2. A gauge-invariant construction of chiral gauge theories using domain wall fermion
We constructed chiral gauge theories with exact gauge invariance directly using domain wall fermion. The chern-simons current induced from the domain wall fermion can be used to construct a 5 + 1-dimensional topological field, and the cohomological analysis of the topological field leads to a gauge-invariant 5-dimensional counter term.
This result was reported in the XIX international symposium on lattice field theory (Lattice 2001, August 19-24, Berlin) as a plenary talk.
3. A practical construction of abelian chiral gauge theories with exact gauge invariance
So far, a complete gauge-invariant construction of the measure of Weyl fermions is obtained only for anomaly-free abelian chiral gauge theories (Luscher 1999). We proposed a practical implementation of this construction by considering the Z_N subspace of the original space of the admissible U(1) gauge fields.
4. Applications of the Ginsparg-Wilson relation
We examined several applications of the Ginsparg-Wilson fermions to supersymmetric lattice models and matrix models.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] Y.Kikukawa, Y.Nakayama: "Gauge Anomaly Cancellations in SU(2)_L×U(1)_Y Electroweak Theory on the lattice"Nucl. Phys.. B597. 519-536 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa: "Domain wall fermion and chiral gauge thearies on the lattice with exact gauge invaviance"Phys. Rev.. D65. 074504 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa, Y.Nakayama, H.Suzuki: "On the lattice construction of electroweak gauge theory"Nucl. Phys. Proc. Suppl.. 106. 763-765 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa: "Analytic progress on exact chiral symmetry"Nucl. Phys. Proc. Suppl.. 106. 71-79 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa, Y.Nakayama: "Nicolai mapping vs. exact chiral symmetry on the lattice"Phys. Rev.. D66. 094508 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa, H.Suzuki: "Chiral Anomalies in the reduced model"JHEP. D209. 032 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa and Y.Nakayama: "Gauge Anomaly cancellations in SU(2)_L × U(1)_Y Electoroweak Theory on the Lattice"Nucl.Phus.. B597. 519-536 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa: "Domain wall fermion and Chiral gauge theories on the Lattice with exact gawge invariance"Phys.Rov.. D65. 074504 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa, Y.Nakayama, H.Suzuki: "On the Lattice construction of Electroweak gauge theory"Nucl.Phys.Proc.Suppl.. 106. 763-765 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa: "Analytic progress on exact chiral Symmetry"Nucl.Phys.Proc.Suppl.. 106. 71-79 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa, Y.Nakayama: "Nicolai mapping us.exact chiral Symmetry on the lattice"Phys.Rev.. D66. 094508 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kikukawa, H.Suzuki: "Chiral Anomalies in the reduced model"JHEP. 0209. 032 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] YOSHIO KIKUKAWA, YOICHI NAKAYAMA: "Nicolai・mapping vs. exact chiral symmetry on the lattice"Phys.Rev. D66 (2002) 094508. 094508 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.KIKUKAWA, H.SUZUKI: "Chiral Anomalies in the reduced model"JHEP. 0209. 032 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y. Kikukawa: "Domain wall fermion and chiral gauge theovies on the lattice with exact gauge invariance"Phys. Rev. D. (to appear, 出版予定).

    • Related Report
      2001 Annual Research Report
  • [Publications] H. Suzuki, Y. Nakayama, Y. Kikukawa: "On the lattice construction of electroweak gauge theory"Nucl. Phys. Proc. Suppl. (106 (2002) 763-765). 106. 763-765 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y. Kikukawa: "Analytic Progress on exact lattice chiral Symmetry"Nucl. Phys. Proc. Suppl.. 106. 71-79 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Kikukawa: "Locality bound for effective four-dimensional action of domain-wall fermion"Nuclear Physics B. 584. 511-527 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Kikukawa,Y.Nakayama: "Gauge Anomaly cancellations in SU(2)_L×U(1)_Y Electroweak theory on the lattice"Nuclear Physics B. 597. 519-536 (2001)

    • Related Report
      2000 Annual Research Report

URL: 

Published: 2000-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi