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Formulation of supersymmetric gauge theory on the lattice

Research Project

Project/Area Number 18540245
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 InstitutionHokkaido University

Principal Investigator

KAWAMOTO Noboru  Hokkaido University, 大学院・理学研究院, 教授 (50169778)

Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,150,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
Keywords格子場の理論 / 格子ゲージ理論 / 超対称性 / 超対称格子理論 / 超対称ヤング / ミルズ理論 / 格子超対称性 / 格子理論 / ホップ代数 / 非可換の場の理論 / 素粒子物理 / ツイストされた超対称性 / 超対称ヤング・ミルズ / 非可換場の理論 / Hopf代数と非可換場の理論 / ディラック・ケーラー・フェルミオン / 有限温度・有厳密度・格子QCD / 超対称ヤング・ミルズ理論 / ディラック・ケーラーツイスト / 非可換理論 / ディラック・ケーラーフェルミオ / 有限温度格子QCD / 有限密度格子QCD / 格子QCDの強結合極限
Research Abstract

We have proposed so called link approach formulation of lattice field theory on the lattice. We applied this formulation to the cases of two and three dimensional super Yang-Mills theories on the lattice. Later it was pointed out that there is ordering ambiguity for the product of fields and thus the formulation is inconsistent. In order to solve this problem we investigated simpler low dimensional models in matrix form and proposed several possible proposals as solution. We, however, came to the conclusion that the link approach formulation of lattice supersymmetry can be consistently formulated not as Lie algebraic but as Hopf algebraic symmetry.

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

    (47 results)

All 2010 2009 2008 2007 2006 2005

All Journal Article (34 results) (of which Peer Reviewed: 13 results) Presentation (13 results)

  • [Journal Article] Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra. Alessandro D'Adda2010

    • Author(s)
      Noboru Kawamoto, Jun Saito
    • Journal Title

      Phys. Rev

    • Related Report
      2009 Final Research Report
  • [Journal Article] Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra2010

    • Author(s)
      A.D'Adda, N.Kawamoto, J.Saito
    • Journal Title

      Phys.Rev. D80

      Pages: 65001-65001

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Matrix formulation of superspace on 1D lattice with two supercharges. Sergio Arianos, Alessandro D'Adda, Alessandra Feo2009

    • Author(s)
      Noboru Kawamoto, Jun Saito
    • Journal Title

      Int. J. Mod. Phys A24

      Pages: 4737-4768

    • Related Report
      2009 Final Research Report
  • [Journal Article] Phase diagram evolution at finite coupling in strong coupling lattice QCD2009

    • Author(s)
      Kohtaroh Miura,, Takashi Z. Nakano,, Akira Ohnishi, Noboru Kawamoto
    • Journal Title

      Phys. Rev D80:074034

    • NAID

      120001750038

    • Related Report
      2009 Final Research Report
  • [Journal Article] Matrix formulation of superspace on 1D lattice with two supercharges2009

    • Author(s)
      S.Arianos, A.D'Adda, A.Feo, N.Kawamoto, J.Saito
    • Journal Title

      Int.J.Mod.Phys. A24

      Pages: 4737-4768

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase diagram evolution at finite coupling in strong coupling lattice QCD2009

    • Author(s)
      K.Miura, T.Nakano, A.Ohnishi, N.Kawamoto
    • Journal Title

      Phys.Rev. D80

      Pages: 740334-740334

    • NAID

      120001750038

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Matrix formulation of superspace on 1D lattice with two superc harges2009

    • Author(s)
      S. Arianos, A. D'Adda, A. Feo, N. Kawamoto, J. Saito
    • Journal Title

      Int. Joun. Mod. Phys (In press)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hadron mass spectrum in strong coupling limit of lattice QCD at finite temperature and density for color SU(3)2008

    • Author(s)
      Kohtaroh Miura, Noboru Kawamoto, Akira Ohnishi
    • Journal Title

      Prog. Theor. Phys. Suppl 174

      Pages: 250-253

    • NAID

      110006975757

    • Related Report
      2009 Final Research Report
  • [Journal Article] Brown-Rho Scaling in the Strong Coupling Lattice QCD Ohnishi2008

    • Author(s)
      N. Kawamoto, K. Miura
    • Journal Title

      Mod. Phys. Lett A23

      Pages: 2459-2464

    • Related Report
      2009 Final Research Report
  • [Journal Article] Strong coupling lattice study of 1/g**2 evolution in phase diagram and baryon mass2008

    • Author(s)
      Kohtaroh Miura, Akira Ohnishi,, Noboru Kawamoto
    • Journal Title

      PoS LATTICE 75

    • Related Report
      2009 Final Research Report
  • [Journal Article] Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions. Alessandro D'Adda2008

    • Author(s)
      Issaku Kanamori,, Noboru Kawamoto, Kazuhiro Nagata
    • Journal Title

      Nucl. Phys B798

      Pages: 168-183

    • Related Report
      2009 Final Research Report
  • [Journal Article] Exact Extended Supersymmetry on a Lattice : Twisted N=4 Super Yang-Mills in Three Dimensions2008

    • Author(s)
      A.D'Adda, I.Kanamori, N.Kawamoto, K. Nagata
    • Journal Title

      Nucl. Phys. B798

      Pages: 168-183

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] Exact Extended Supersymmetry on a Lattice : Twisted N=4 Super Yang-Mills in Three Dimensions2008

    • Author(s)
      A. D'Adda, I. Kanamor N. kawamoto, K. Nagata
    • Journal Title

      Nuclear Physics B B798

      Pages: 168-183

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Brown-Rho Scaling in the Strong Coupling Lattice QCD2008

    • Author(s)
      A. Ohnishi, N. Kawamoto, K. Miura
    • Journal Title

      Mod. Phys. Lett A23

      Pages: 2459-2464

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hadron mass spectrum in strong coupling limit of lattice QCD at finite temperature and density for color SU(3)2008

    • Author(s)
      A. Ohnishi, N. Kawamoto, K. Miura
    • Journal Title

      Prog. Theor. Phys. Suppl 174

      Pages: 250-253

    • NAID

      110006975757

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions.2008

    • Author(s)
      Alessandro D'Adda、他
    • Journal Title

      Nucl. Phys. B B798

      Pages: 168-183

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Meson mass spectrum at finite temperature and density in the strong coupling limit of lattice QCD for color SU(3)2007

    • Author(s)
      Noboru Kawamoto, Kohtaroh Miura, Akira Ohnishi
    • Journal Title

      PoS LAT 209

    • Related Report
      2009 Final Research Report
  • [Journal Article] Lattice supersymmetry in 1D with two supercharges2007

    • Author(s)
      Sergio Arianos, Alessandro D'Adda, Noboru Kawamoto, Jun Saito
    • Journal Title

      PoS LAT 259

    • Related Report
      2009 Final Research Report
  • [Journal Article] Lattice Formulation of the N=4 D=3 Twisted Super Yang-Mills. Alessandro D'Adda2007

    • Author(s)
      Issaku Kanamori, Noboru Kawamoto, Kazuhiro Nagata
    • Journal Title

      PoS LAT 271

    • Related Report
      2009 Final Research Report
  • [Journal Article] Strong coupling limit/region of lattice QCD2007

    • Author(s)
      A. Ohnishi, N. Kawamoto, K. Miura, K. Tsubakihara, H. Maekawa
    • Journal Title

      Prog. Theor. Phys. Suppl 168

      Pages: 261-264

    • NAID

      110006473419

    • Related Report
      2009 Final Research Report
  • [Journal Article] Phase diagram at finite temperature and quark density in the strong coupling region of lattice QCD for color SU(3)2007

    • Author(s)
      A. Ohnishi, N. Kawamoto, K. Miura
    • Journal Title

      J. Phys G34

    • Related Report
      2009 Final Research Report
  • [Journal Article] Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)2007

    • Author(s)
      N. Kawamoto, K. Miura, A. Ohnishi, T. Ohnuma
    • Journal Title

      Phys. Rev D75

      Pages: 14502-14502

    • Related Report
      2009 Final Research Report
  • [Journal Article] Lattice Formulation of the N=4 D=3 Twisted Super Yang-Mills2007

    • Author(s)
      Alessandro D'Adda, 他
    • Journal Title

      Nuclear Physics PoS LAT2007

      Pages: 271-271

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lattice supersymmetry in 1D with two supercharges2007

    • Author(s)
      Sergio Arianos, 他
    • Journal Title

      Nuclear Physics PoS LAT2007

      Pages: 259-259

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)2007

    • Author(s)
      N. Kawamoto, 他
    • Journal Title

      Phys. Rev. D D 75

      Pages: 14502-14502

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Meson mass spectrum at finite temperature and density in the strong coupling limit of lattice QCD for color SU(3)2007

    • Author(s)
      Noboru Kawamoto, 他
    • Journal Title

      Nuclear Physics PoS LAT2007

      Pages: 209-209

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong coupling limit/region of lattice QCD2007

    • Author(s)
      A. Ohnishi, 他
    • Journal Title

      Prog. Theor. Phys. Suppl.168

      Pages: 261-264

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase diagram at finite temperature and quark density in the strong coupling coupling region of lattice QCD for color SU(3)2007

    • Author(s)
      A. Ohnishi, 他
    • Journal Title

      J. Phys. G34

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)2007

    • Author(s)
      Noboru Kawamoto
    • Journal Title

      Physics Review D D75

      Pages: 14502-14502

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Exact extended supersymmetry on a lattice: Twisted N=2 super Yang-Mills in two dimensions. Alessandro D'Adda2006

    • Author(s)
      Issaku Kanamori, Noboru Kawamoto, Kazuhiro Nagata
    • Journal Title

      Phys. Lett B633

      Pages: 645-652

    • Related Report
      2009 Final Research Report
  • [Journal Article] Exact extended supersymmetry on a lattice : Twisted N=2 super Yang-Mills in two dimensions2006

    • Author(s)
      A.D'Adda,I.Kanamori, N.Kawamoto, K. Nagata
    • Journal Title

      Phys. Lett. B633

      Pages: 645-652

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] Exact extended supersymmetry on a lattice : Twisted N=2 super Yang-Mills in two dimensions.2006

    • Author(s)
      Alessandro D'Adda
    • Journal Title

      Physics Letter B B633

      Pages: 645-652

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Twisted superspace on a lattice2005

    • Author(s)
      A. D'Adda, I. Kanamori, N. Kawamoto, K. Nagata
    • Journal Title

      Nucl. Phys. B707

      Pages: 100-144

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] N=4 twisted superspace from Dirac-Kahler twist and off-shell SUSY invariant actions in four dimensions2005

    • Author(s)
      J. Kato, N. Kawamoto, A. Miyake
    • Journal Title

      Nucl. Phys. B721

      Pages: 229-286

    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Phase diagram and critical point evolution in NLO and NNLO strong coupling lattice QCD2009

    • Author(s)
      A.Ohnishi
    • Organizer
      Lattice 2009, Beijing
    • Place of Presentation
      Beijing, China
    • Year and Date
      2009-07-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lattice Supersymmetry : Some Ideas from Low Dimensional Models2009

    • Author(s)
      A.D'Adda
    • Organizer
      Lattice 2009, Beijing
    • Place of Presentation
      Beijing, China
    • Year and Date
      2009-07-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lattice supersymmetry with Hopf algebra for the link approach2009

    • Author(s)
      J.Saito
    • Organizer
      Lattice 2009, Beijing
    • Place of Presentation
      Beijing, China
    • Year and Date
      2009-07-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Lattice supersymmetry with Hopf algebra for the link approach. Alessandro D'Adda2009

    • Author(s)
      Noboru Kawamoto, Jun Saito
    • Organizer
      Contributed to 27th International Symposium on Lattice Field Theory (Lattice 2009), Beijing, China
    • Related Report
      2009 Final Research Report
  • [Presentation] Lattice Supersymmetry: Some Ideas from Low Dimensional Models. Alessandro D'Adda2009

    • Author(s)
      Alessandra Feo, Issaku Kanamori, Noboru Kawamoto, Jun Saito
    • Organizer
      Contributed to 27th International Symposium on Lattice Field Theory (Lattice 2009), Beijing, China
    • Related Report
      2009 Final Research Report
  • [Presentation] Current status of link approach for the twisted SUSY on a lattice2008

    • Author(s)
      N. Kawamaoto
    • Organizer
      Lattice Supersymmetry and Beyond
    • Place of Presentation
      Niels Bohr Institute Copenhagen, Denmark
    • Year and Date
      2008-11-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Twisted Supersymmetry on a Lattice2008

    • Author(s)
      N. Kawamaoto
    • Organizer
      Liouville Field Theory and Statistical Models
    • Place of Presentation
      Moscow Center for Continuous Mathematical Education
    • Year and Date
      2008-06-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Current status of link approach for the twisded SUSY on a lattice2008

    • Author(s)
      N. Kawamoto
    • Organizer
      Lattice Supersymmetry and Beyond
    • Place of Presentation
      Niels Bohr Institute, Copenhagen, Denmark
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Lattice supersymmetry in 1D with two supercharges. Sergio Arianos, Alessandro D'Adda2007

    • Author(s)
      Noboru Kawamoto, Jun Saito
    • Organizer
      Presented at 25th International Symposium on Lattice Field Theory
    • Place of Presentation
      Regensburg, Germany
    • Related Report
      2009 Final Research Report
  • [Presentation] Lattice Formulation of the N=4 D=3 Twisted Super Yang-Mills. Alessandro D'Adda2007

    • Author(s)
      Issaku Kanamori, Noboru Kawamoto, Kazuhiro Nagata
    • Organizer
      Presented at 25th International Symposium on Lattice Field Theory
    • Place of Presentation
      Regensburg, Germany
    • Related Report
      2009 Final Research Report
  • [Presentation] Finite Temperature and Density Chiral Phase in the Strong Coupling Lattice QCD2007

    • Author(s)
      N. Kawamoto
    • Organizer
      Extreme QCD(XQCD)
    • Place of Presentation
      ローマ、フラスカッティ
    • Related Report
      2007 Annual Research Report
  • [Presentation] Lattice Formulation of the N=4 D=3 Twisted Super Yang-Mills2007

    • Author(s)
      Alessandro D'Adda
    • Organizer
      Lattice 2007
    • Place of Presentation
      レーゲンスブルグ、ドイツ
    • Related Report
      2007 Annual Research Report
  • [Presentation] Meson mass spectrum at finite temperature and density in the strong coupling limit of lattice QCD for color SU(3)2007

    • Author(s)
      K. Miura
    • Organizer
      Lattice 2007
    • Place of Presentation
      レーゲンスブルグ、ドイツ
    • Related Report
      2007 Annual Research Report

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

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