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New possibilities in lattice gauge theory

Research Project

Project/Area Number 18540305
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 Institute of Physical and Chemical Research

Principal Investigator

SUZUKI Hiroshi  The Institute of Physical and Chemical Research, 川合理論物理学研究室, 専任研究員 (90250977)

Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥630,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2006: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywords格子ゲージ理論 / カイラル対称性 / 超対称性 / 非摂動論的定式化 / 数値シミュレーション / ゲージ対称性 / アノマリー / 非摂動論 / 場の量子論 / 非摂動論的効果 / カイラルゲージ理論 / カイラルアノマリー / ワイルフェルミオン / マヨラナフェルミオン / 格子重力
Research Abstract

We studied nonperturbative lattice formulation of fermions in the gravitational field, anomalous gauge theories and low-dimensional supersymmetric gauge theories, on the basis of theoretical analyses and numerical simulations. As the most significant achievement, we confirmed in a lattice formulation of the two-dimensional N=(2,2) supersymmetric Yang-Mills theory that supersymmetry (which is broken by the lattice regularization) is restored in the continuum limit, by numerically measuring supersymmetric Ward-Takahashi identities.

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

    (53 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (36 results) (of which Peer Reviewed: 31 results) Presentation (10 results) Book (5 results) Remarks (2 results)

  • [Journal Article] Supersymmetric nonperturbative formulation of the WZ model in lower dimensions2010

    • Author(s)
      加堂大輔、鈴木博
    • Journal Title

      Physics Letters B684

      Pages: 167-172

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] SUSY WT identity in a lattice formulation of 2D = (2, 2) SYM2010

    • Author(s)
      加堂大輔、鈴木博
    • Journal Title

      Physics Letters B682

      Pages: 466-471

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] SUSY WT identity in a lattice formulation of 2D=(2, 2)SYM2010

    • Author(s)
      Daisuke Kadoh
    • Journal Title

      Physics Letters B 682

      Pages: 466-471

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supersymmetric nonperturbative formulation of the WZ model in lower dimensions2010

    • Author(s)
      Daisuke Kadoh
    • Journal Title

      Physics Letters B 684

      Pages: 167-172

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2010

    • Author(s)
      鈴木博
    • Journal Title

      臨時別冊・数理科学『多彩な量子の世界 その広がりに映し出される発展と進化』(サイエンス社)

      Pages: 104-111

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Lattice formulation of 2D N = (2, 2) SQCD based on the B model twist2009

    • Author(s)
      加堂大輔、杉野文彦、鈴木博
    • Journal Title

      Nuclear Physics B820

      Pages: 99-115

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some physics of the two-dimensional N = (2, 2) supersymmetric Yang-Mills theory: Lattice Monte Carlo study2009

    • Author(s)
      金森逸作、鈴木博
    • Journal Title

      Physics Letters B672

      Pages: 307-311

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Restoration of supersymmetry on the lattice: Two-dimensional N = (2, 2) supersymmetric Yang-Mills theory2009

    • Author(s)
      金森逸作、鈴木博
    • Journal Title

      Nuclear Physics B811

      Pages: 420-437

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lattice formulation of 2D N=(2, 2)SQCD based on the B model twist2009

    • Author(s)
      Daisuke Kadoh
    • Journal Title

      Nuclear Physics B 820

      Pages: 99-115

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some physics of the two-dimensional N=(2, 2) supersymmetric Yang-Mills theory2009

    • Author(s)
      金森逸作、鈴木博
    • Journal Title

      Lattice Monte-Carlo study, Physics Letters B 672

      Pages: 307-311

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Restoration of supersymmetry on the lattice2009

    • Author(s)
      金森逸作、鈴木博
    • Journal Title

      Two-dimensional N=(2,2) supersymmetric Yang-Mills theory, Nuclear Physics B 811

      Pages: 420-437

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Restoration of supersymmetry on the lattice : Two-dimensional N=(2,2) supersymmetric Yang-Mills theory2009

    • Author(s)
      Issaku Kanamori
    • Journal Title

      Nuclear Physics B 811

      Pages: 420-437

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some physics of the two-dimensional N=(2,2) supersymmetric Yang-Mills theory : Lattice Monte Carlo study2009

    • Author(s)
      Issaku Kanamori
    • Journal Title

      Physics Letters B 672

      Pages: 307-311

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Euclidean lattice simulation for dynamical supersymmetry breaking2008

    • Author(s)
      金森逸作、鈴木博、杉野文彦
    • Journal Title

      Physical Review D77

      Pages: 91502-91502

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Observing dynamical supersymmetry breaking with euclidean lattice simulations2008

    • Author(s)
      金森逸作、鈴木博、杉野文彦
    • Journal Title

      Progress of Theoretical Physics 119

      Pages: 797-827

    • NAID

      110006684303

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Observing dynamical supersymmetry breaking with Euclidean lattice simulations2008

    • Author(s)
      金森逸作、杉野文彦、鈴木博
    • Journal Title

      Progress of Theoretical Physics 119

      Pages: 797-827

    • NAID

      110006684303

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Euclidean lattice simulation for dynamical supersymmetry breaking2008

    • Author(s)
      金森逸作、杉野文彦、鈴木博
    • Journal Title

      Physical Review D D,77, 091502

      Pages: 77-77

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Numerical results of two-dimensional N=(2, 2) super Yang-Mills theory、Proceedings of Science2007

    • Author(s)
      深谷英則、金森逸作、鈴木博、瀧見友久
    • Journal Title

      LAT2007

      Pages: 264-264

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Four-dimensional lattice chiral gauge theories with anomalous fermion content2007

    • Author(s)
      菊川芳夫、鈴木博
    • Journal Title

      Journal of Theoretical Physics 710

      Pages: 18-18

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Two-dimensional N = (2, 2) super Yang-Mills theory on computer2007

    • Author(s)
      鈴木博
    • Journal Title

      Journal of Theoretical Physics 709

      Pages: 52-52

    • NAID

      110006880988

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Note on massless bosonic states in two-dimensional field theories2007

    • Author(s)
      深谷英則、金森逸作、鈴木博、早川雅司、瀧見友久
    • Journal Title

      Progress of Theoretical Physics 116

      Pages: 1117-1129

    • NAID

      110006196885

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Four-dimensional lattice chiral gauge theories with anomalous fermion content2007

    • Author(s)
      菊川芳夫、鈴木博
    • Journal Title

      Journal of High Energy Physics 0710, 018

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Two-dimensional N=(2, 2) super Yang-Mills theory on computer2007

    • Author(s)
      鈴木博
    • Journal Title

      Journal of High Energy Physics 0709, 052

    • NAID

      110006880988

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Note on massless bosonic states in two-dimensional field theories2007

    • Author(s)
      H.Fukaya, I.Kanamori, H.Suzuki, M.Hayakawa, T.Takimi
    • Journal Title

      Progress of Theoretical Physcs 116

      Pages: 1117-1129

    • NAID

      110006196885

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-dimensional N=(2,2) super Yang-Mills theory on computer2007

    • Author(s)
      Hiroshi Suzuki
    • Journal Title

      Journal of High Energy Physics 0709

      Pages: 52-52

    • NAID

      110006880988

    • 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

      Journal of High Energy Physics 0710

      Pages: 18-18

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Overlap fermion in external gravity2006

    • Author(s)
      宗博人、早川雅司、鈴木博
    • Journal Title

      Proceedings of Science、LAT2006

      Pages: 47-47

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Overlap lattice fermion in a gravitational field2006

    • Author(s)
      早川雅司、宗博人、鈴木博
    • Journal Title

      Progress of Theoretical Physics 116

      Pages: 197-215

    • NAID

      210000111571

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Gauge anomaly associated to the Majorana fermion in 8k+1 dimensions2006

    • Author(s)
      早川雅司、鈴木博
    • Journal Title

      Progress of Theoretical Physics 115

      Pages: 1129-1136

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Zero-dimensional analogue of the global gauge anomaly2006

    • Author(s)
      宗博人、鈴木博
    • Journal Title

      Progress of Theoretical Physics 115

      Pages: 467-471

    • NAID

      110004656478

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Note on massless bosonic Overlap lattice fermion in a gravitational field2006

    • Author(s)
      深谷英則、金森逸作、鈴木博、早川雅司、瀧見知久
    • Journal Title

      Progress of Theoretical Physics 116

      Pages: 1117-11129

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Overlap lattice fermion in a gravitational field, Progress2006

    • Author(s)
      早川雅司、宗博人、鈴木博
    • Journal Title

      Theoretical Physics 116

      Pages: 1117-1129

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Gauge anomaly associated with the Majorana fermion in 8K+1 deimensions2006

    • Author(s)
      Masashi Hayakawa
    • Journal Title

      Progress of Theoretical Physics vol.115,No.6

      Pages: 1129-1136

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Overlap lattice fermion in a gravitational field2006

    • Author(s)
      Masashi Hayakawa
    • Journal Title

      Progress of Theoretical Physics vol.1162,No.1

      Pages: 197-215

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Note on massless bosonic states in two-dimensional field theories2006

    • Author(s)
      Hidenori Fukaya
    • Journal Title

      Progress of theretical Physics Vol.116,No.6

      Pages: 1117-1129

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 格子ゲージ理論におけるカイラル対称性の実現2006

    • Author(s)
      鈴木博
    • Journal Title

      日本物理学会会誌 61巻・11巻

      Pages: 807-813

    • NAID

      110004837339

    • Related Report
      2006 Annual Research Report
  • [Presentation] Supersymmetry restoration in a small volume lattice2009

    • Author(s)
      鈴木博
    • Organizer
      基研研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2009-07-10
    • Related Report
      2009 Final Research Report
  • [Presentation] 2d N=(2, 2) SYM on computer2008

    • Author(s)
      鈴木博
    • Organizer
      理研シンポジウム「場と弦の理論の新しい展開に向けて」
    • Place of Presentation
      理化学研究所和光キャンパス
    • Year and Date
      2008-12-22
    • Related Report
      2009 Final Research Report
  • [Presentation] 計算機上の2d N=(2, 2) SYM、理研シンポジウム2008

    • Author(s)
      鈴木博
    • Organizer
      場と弦の理論の新展開に向けて
    • Place of Presentation
      理化学研究所(和光)
    • Year and Date
      2008-12-20
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 2d N=(2, 2) SYM in the machine2008

    • Author(s)
      鈴木博
    • Organizer
      Niels Bohr International Academy workshop「Lattice Supersymmetry and Beyond」
    • Place of Presentation
      デンマーク国ニールスボーア研究所
    • Year and Date
      2008-11-27
    • Related Report
      2009 Final Research Report
  • [Presentation] 2d N=(2, 2) SYM in the machine2008

    • Author(s)
      鈴木博
    • Organizer
      Lattice Supersymmetry and Beyond
    • Place of Presentation
      Niels Bohr Institute (Copenhagen)
    • Year and Date
      2008-11-27
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 2d N=(2,2) SYM in the machine2008

    • Author(s)
      Hiroshi Suzuki
    • Organizer
      Lattice Supersymmetry and Beyond
    • Place of Presentation
      デンマーク国ニールス・ボーア研究所
    • Year and Date
      2008-11-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Tomboulisの閉じ込めの証明について2008

    • Author(s)
      鈴木博
    • Organizer
      基研研究会「量子場理論と弦理論の発展」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2008-07-28
    • Related Report
      2009 Final Research Report
  • [Presentation] Tomboulisの閉じ込めの証明について、基研研究会2008

    • Author(s)
      鈴木博
    • Organizer
      量子場の理論と弦理論の発展
    • Place of Presentation
      京都大学基礎物理学研究所(京都)
    • Year and Date
      2008-07-28
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Two-dimensional N = (2, 2) super Yang-Mills theory on computer2007

    • Author(s)
      鈴木博
    • Organizer
      基研研究会「弦理論と場の理論―量子と時空の最前線」
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-08-10
    • Related Report
      2009 Final Research Report
  • [Presentation] Numerical results of two-dimensional N=(2,2)super Yang-Mills theory2007

    • Author(s)
      H.Fukaya, I.Kanamori, H.Suzuki, T.Takimi
    • Organizer
      25^<th>International Symposium on Lattice Field Theory
    • Place of Presentation
      Regensburg,Germany
    • Year and Date
      2007-08-01
    • Related Report
      2007 Annual Research Report
  • [Book] 臨時別冊・数理科学多彩な量子の世界「物性物理学におけるボゾン化法量子異常の視点から」2010

    • Author(s)
      鈴木博、福井隆裕
    • Publisher
      サイエンス社
    • Related Report
      2009 Final Research Report
  • [Book] 場の量子論の考え方2008

    • Author(s)
      鈴木博
    • Publisher
      サイエンス社
    • Related Report
      2009 Final Research Report
  • [Book] 数理科学7月号・特集・物理的思考法のすすめ・諸分野におけるキーポイント『場の量子論の考え方』2008

    • Author(s)
      鈴木博
    • Publisher
      サイエンス社
    • Related Report
      2008 Self-evaluation Report
  • [Book] 数理科学7月号・特集・物理的思考法のすすめ・諸分野におけるキーポイント「場の量子論の考え方」2008

    • Author(s)
      鈴木博
    • Total Pages
      6
    • Publisher
      サイエンス社
    • Related Report
      2008 Annual Research Report
  • [Book] 格子ゲージ理論におけるカイラル対称性の実現2006

    • Author(s)
      鈴木博
    • Publisher
      日本物理学会
    • Related Report
      2009 Final Research Report
  • [Remarks] 素粒子の世界の真空エネルギーをコンピュータで計算-超対称性の自発的破れの可能性を数値シミュレーション-、2008年4月22日

    • URL

      http://www.riken.go.jp/r-world/info/release/press/2008/080422/detail.html

    • Related Report
      2009 Final Research Report
  • [Remarks] 新聞掲載 : 「超対称性の自発的破れ」科学新聞、平成20年5月16日号、他

    • Related Report
      2008 Self-evaluation Report

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

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