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Study of twisted space-time reduced model in the large N limit

Research Project

Project/Area Number 23540310
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionHiroshima University

Principal Investigator

OKAWA Masanori  広島大学, 理学(系)研究科(研究院), 教授 (00168874)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords素粒子理論 / 素粒子論 / ラージN極限 / 時空縮約モデル / 国際研究者交流(スペイン) / ラージN極限
Research Abstract

In the large N limit of the SU(N) lattice gauge theory, there is a possibility that the space-time degrees of freedom are absorbed into the SU(N) internal degrees of freedom. In this work, I study the space-time reduced model defined on a one to the forth lattice with twisted boundary condition.
1) The precise calculation of the string tension is made using the space-time reduced model. String tension is also calculated in the usual SU(N) lattice gauge theory and results are extrapolated to large N. The extrapolated value perfectly coincides with that obtained directly by space-time reduced model, thus demonstrating the correctness of the reduced model.
2) The space-time reduced model having two adjoint fermions is shown to have properties which are characteristic to the conformal theory governed by an infrared fixed point. I also show that the theory having a single adjoint fermion has the properties which support that this theory is a confining theory.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (15 results)

All 2013 2012

All Journal Article (9 results) (of which Peer Reviewed: 3 results) Presentation (6 results)

  • [Journal Article] The string tension from smeared Wilson loops at large N2013

    • Author(s)
      A. Gonzalez-Arroyo, M. Okawa
    • Journal Title

      Phys. Lett

      Volume: B718 Issue: 4-5 Pages: 1524-1528

    • DOI

      10.1016/j.physletb.2012.12.027

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Twisted space-time reduced model of large N QCD with two adjoint Wilson fermions2013

    • Author(s)
      A. Gonzalez-Arroyo, M. Okawa
    • Journal Title

      Phys.Rev

      Volume: D88 Issue: 1 Pages: 0145141-9

    • DOI

      10.1103/physrevd.88.014514

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spatial volume dependence for 2+1 dimensional SU(N) Yang-Mills theory2013

    • Author(s)
      M. Garcia Perez, A. Gonzalez-Arroyo, M. Okawa
    • Journal Title

      JHEP

      Volume: 1309 Issue: 9 Pages: 0031-62

    • DOI

      10.1007/jhep09(2013)003

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mass anomalous dimension from large N twisted volume reduction2013

    • Author(s)
      M. Garcia-Perez, A. Gonzalez-Arroyo, L. Keegan and M. Okawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2013 Pages: 0981-7

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Twisted reduction in large N QCD with adjoint Wilson fermions2013

    • Author(s)
      A. Gonzalez-Arroyo and M. Okawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2013 Pages: 0991-7

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Perturbative analysis of twisted volume reduced theories2013

    • Author(s)
      M. Garcia-Perez, A. Gonzalez-Arroyo and M. Okawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2013 Pages: 3421-7

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Twisted reduction in large N QCD with two adjoint Wilson fermions2012

    • Author(s)
      A. Gonzalez-Arroyo, M. Okawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2012 Pages: 46-46

    • Related Report
      2012 Research-status Report
  • [Journal Article] The string tension for Large N gauge theory from smeared Wilson loops2012

    • Author(s)
      A. Gonzalez-Arroyo, M. Okawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2012 Pages: 221-221

    • Related Report
      2012 Research-status Report
  • [Journal Article] Volume dependence in 2+1 Yang-Mills theory2012

    • Author(s)
      M. Garcia-Perez, A. Gonzalez-Arroyo, M. Okawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2012 Pages: 219-219

    • Related Report
      2012 Research-status Report
  • [Presentation] Massanomalous dimension from large N twisted volume reduction2013

    • Author(s)
      M. Garcia Perez, A. Gonzalez-Arroyo, L. Keegan(発表者), M. Okawa
    • Organizer
      31st International Symposium on Lattice Field Theory
    • Place of Presentation
      Mainz, Germany
    • Related Report
      2013 Final Research Report
  • [Presentation] Twisted reduction in large N QCD with adjoint Wilson fermions2013

    • Author(s)
      A. Gonzalez-Arroyo, M. Okawa(発表者)
    • Organizer
      31st International Symposium on Lattice Field Theory
    • Place of Presentation
      Mainz, Germany
    • Related Report
      2013 Final Research Report
  • [Presentation] Perturbative analysis of twisted volume reduced theories2013

    • Author(s)
      M. Garcia Perez(発表者), A. GonzalezArroyo, M. Okawa
    • Organizer
      31st International Symposium on Lattice Field Theory
    • Place of Presentation
      Mainz, Germany
    • Related Report
      2013 Final Research Report
  • [Presentation] Twisted reduction in large N QCD with two adjoint Wilson fermions2012

    • Author(s)
      A. Gonzalez-Arroyo, M. Okawa(発表者)
    • Organizer
      30th International Symposium on Lattice Field Theory
    • Place of Presentation
      Cairns, Australia
    • Related Report
      2013 Final Research Report
  • [Presentation] Volume dependence in 2+1 Yang-Mills theory2012

    • Author(s)
      M. Garcia Perez(発表者), A. GonzalezArroyo, Arroyo
    • Organizer
      30th International Symposium on Lattice Field Theory
    • Place of Presentation
      Cairns, Australia
    • Related Report
      2013 Final Research Report
  • [Presentation] The string tension for Large N gauge theory from smeared Wilson loops2012

    • Author(s)
      Cairns, Australia-Arroyo(発表者), M. Okawa
    • Organizer
      30th International Symposium on Lattice Field Theory
    • Place of Presentation
      Cairns, Australia
    • Related Report
      2013 Final Research Report

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Published: 2011-08-05   Modified: 2019-07-29  

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