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Search for the infrared fixed point of 4-dimensional gauge theory

Research Project

Project/Area Number 22740173
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionHigh Energy Accelerator Research Organization (2011-2012)
Osaka University (2010)

Principal Investigator

ITOU Etsuko  大学共同利用機関法人高エネルギー加速器研究機構, 素粒子原子核研究所, 特任助教 (50432464)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords非摂動論的くりこみ / 格子シミュレーション / 共形場の理論 / くりこみ群 / 赤外固定点 / 繰り込み群
Research Abstract

We have studied the low energy behavior of 4-dimensional many flovor non-abelian gauge theory. We focus on the SU(3) gauge theory coupled to 12 massless fermions. We measured the nonperturbative running coupling constant using the lattice numerical simulation. According to the perturbative two loop analysis, the Nf=12 SU(3) gauge theory might have a conformal fixed point in the infrared region. However, the coupling constant at the fixed point is large in the perturbative analysis, so that some nonperturbative studies are needed. We measured one of nonrerturbative renormalization coupling constant and finally found that there is a nontrivial conformal fixed point in the SU(3) Nf=12 theory . The numerical simulation also derives the critical exponent around the fixed point.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (22 results)

All 2013 2012 2011 2010 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (19 results) (of which Invited: 2 results)

  • [Journal Article] The Infrared behavior of SU(3) Nf=12 gauge theory -about the existence of conformal fixed point-2011

    • Author(s)
      Kenji Ogawa, Tatsumi Aoyama, Hiroaki Ikeda, Etsuko Itou, Masafumi Kurachi,他
    • Journal Title

      PoS Lattice2011

      Volume: 081

    • URL

      http://arxiv.org/abs/arXiv:1111.1575

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Search for the IR fixed point in the Twisted Polyakov Loop scheme (II)2010

    • Author(s)
      Etsuko Itou, Tatsumi Aoyama, Masafumi Kurachi,他
    • Journal Title

      PoS Lattice2010

      Volume: 054

    • URL

      http://arxiv.org/abs/arXiv:1011.0516

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories

    • Author(s)
      Etsuko Itou
    • Journal Title

      Progress of Theoretical and Experimental Physics に掲載決定

    • URL

      http://arxiv.org/abs/arXiv:1212.1353

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theory2013

    • Author(s)
      Etsuko Itou
    • Organizer
      Lattice BSM Workshop, Origin of Mass 2013(招待講演 発表確定)
    • Place of Presentation
      Odense, Denmark
    • Related Report
      2012 Final Research Report
  • [Presentation] The twisted Polyakov Loop Coupling and the Search for an IR Fixed Point2013

    • Author(s)
      Etsuko Itou
    • Organizer
      the 31st International Symposium on Lattice Field Theory (Lattice 2013)(招待講演 発表確定)
    • Place of Presentation
      Mainz, Germany
    • Related Report
      2012 Final Research Report
  • [Presentation] The twisted Polyakov Loop Coupling and the Search for an IR Fixed Point2013

    • Author(s)
      Etsuko Itou
    • Organizer
      the 31st International Symposium on Lattice Field Theory (Lattice 2013)
    • Place of Presentation
      Mainz, Germany
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theory2013

    • Author(s)
      Etsuko Itou
    • Organizer
      Lattice BSM Workshop, Origin of Mass 2013
    • Place of Presentation
      Odense, Denmark
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] SU(3) Nf=12 理論の赤外固定点における臨界指数について2012

    • Author(s)
      伊藤悦子
    • Organizer
      日本物理学会 第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-25
    • Related Report
      2012 Final Research Report
  • [Presentation] SU(3)Nf=12理論の赤外固定点における臨界指数について2012

    • Author(s)
      伊藤悦子
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学(兵庫県)
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] Study on the conformal window using the lattice simulation2011

    • Author(s)
      Etsuko Itou
    • Organizer
      HPCI戦略プログラム分野5研究会 「計算的手法による素粒子論研究の広がり」(招待講演)
    • Place of Presentation
      高エネルギー加速器研究機構
    • Year and Date
      2011-12-21
    • Related Report
      2012 Final Research Report
  • [Presentation] Study on the conformal window using the lattice simulation2011

    • Author(s)
      Etsuko Itou
    • Organizer
      HPCI戦略プログラム分野5研究会「計算的手法による素粒子論研究の広がり」
    • Place of Presentation
      高エネルギー加速器研究機構(茨城県)(招待講演)
    • Year and Date
      2011-12-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] Conformal fixed point of SU(3) gauge theory with 12 fundamental massless fermions2011

    • Author(s)
      Etsuko Itou
    • Organizer
      Lattice Meets Experiment 2011: Beyond the Standard Model, (招待講演)
    • Place of Presentation
      Fermi 研究所, USA
    • Year and Date
      2011-10-15
    • Related Report
      2012 Final Research Report
  • [Presentation] Conformal fixed point of SU(3) gauge theory with 12 fundamental massless fermions2011

    • Author(s)
      Etsuko Itou
    • Organizer
      Lattice Meets Experiment 2011 : Beyond the Standard Model
    • Place of Presentation
      Fermi研究所(USA)(招待講演)
    • Year and Date
      2011-10-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large flavor QCD における赤外固定点の存在と擬スカラー粒子の異常次元の計算2011

    • Author(s)
      伊藤悦子
    • Organizer
      日本物理学会 2011 年秋季大会
    • Place of Presentation
      弘前大学
    • Year and Date
      2011-09-17
    • Related Report
      2012 Final Research Report
  • [Presentation] Large flavor QCDにおける赤外固定点の存在と擬スカラー粒子の異常次元の計算2011

    • Author(s)
      伊藤悦子
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      弘前大学(青森県)
    • Year and Date
      2011-09-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] Infrared fixed point for many flavor SU(N) gauge theory2011

    • Author(s)
      Etsuko Itou
    • Organizer
      Renormalization Group Approach from Ultra Cold Atoms to the Hot QGP
    • Place of Presentation
      京都大学 基礎物理学研究所
    • Year and Date
      2011-08-25
    • Related Report
      2012 Final Research Report
  • [Presentation] Infrared fixed point for many flavor SU(N) gauge theory2011

    • Author(s)
      Etsuko Itou
    • Organizer
      Renormalization Group Approach from Ultra Cold Atoms to the Hot QGP
    • Place of Presentation
      京都大学基礎物理学研究所(京都府)
    • Year and Date
      2011-08-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] SU(3)ゲージ理論における赤外固定点の存在と擬スカラー演算子の異常次元の計算2011

    • Author(s)
      伊藤悦子
    • 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
      2011-07-27
    • Related Report
      2012 Final Research Report
  • [Presentation] SU(3)ゲージ理論における赤外固定点の存在と擬スカラー演算子の異常次元の計算2011

    • Author(s)
      伊藤悦子
    • 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(京都府)
    • Year and Date
      2011-07-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] The IR behavior of a large flavor gauge theory2010

    • Author(s)
      Etsuko Itou
    • Organizer
      Workshop on lattice simulation for physics beyond the Standard Model (招待講演)
    • Place of Presentation
      NCTS, Taiwan (新竹市)
    • Year and Date
      2010-11-12
    • Related Report
      2012 Final Research Report
  • [Presentation] The IR behavior of a large flavor gauge theory2010

    • Author(s)
      Etsuko Itou
    • Organizer
      Workshop on lattice simulation for physics beyond the Standard Model
    • Place of Presentation
      NCTS, Taiwan(新竹市)(招待講演)
    • Year and Date
      2010-11-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] Search for the IR fixed point in the Twisted Polyakov Loop scheme (II)2010

    • Author(s)
      Etsuko Itou
    • Organizer
      28th International Symposium On Lattice Field Theory (Lattice 2010)
    • Place of Presentation
      Villasimius, Sardinia, Italy
    • Year and Date
      2010-06-15
    • Related Report
      2012 Final Research Report 2010 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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