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Non-perturbative analysis of conformal gauge theories by renormalization group

Research Project

Project/Area Number 24540275
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 InstitutionNara Women's University

Principal Investigator

TERAO Haruhiko  奈良女子大学, 自然科学系, 教授 (40192653)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywordsくり込み群 / カイラル対称性 / 強都合ゲージ理論 / 繰り込み群 / 強結合ゲージ理論 / ゲージ理論 / 超対称性
Outline of Final Research Achievements

It is widely expected that QCD with many quark flavors realizes a scale invariant quantum theory, when the number of flavors lies in the region called the conformal window. In this study we first formulated a set of non-perturbative renormalization group equations for QCD with many flavors, and analyzed the dynamics near the conformal window by solving the equations. Explicitly we evaluated the beta functions and the mass anomalous dimensions for the SU(3) and the SU(2) QCD theories with many flavors. We also examined the scaling law of mass parameters by deriving the renormalization group equations for the chiral order parameters.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (5 results)

All 2014 2013 2012

All Presentation (5 results)

  • [Presentation] Higgs有効ポテンシャルの汎関数繰り込み群による評価について2014

    • Author(s)
      大野香穂,寺尾治彦
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      佐賀大学
    • Year and Date
      2014-09-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] 非平衡系の汎関数繰り込み群の定式化と力学的繰り込み群との関係について2014

    • Author(s)
      東山愛,中村衣里子,寺尾治彦
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      佐賀大学
    • Year and Date
      2014-09-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] パラメータ共鳴現象の汎関数繰り込み群を用いた非摂動的解析2014

    • Author(s)
      中村衣里子,東山愛,寺尾治彦
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      佐賀大学
    • Year and Date
      2014-09-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] 繰り込み群を用いた有効ポテンシャルの改善について2013

    • Author(s)
      北見友里,寺尾治彦
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Nonperturbative analyses of nearly conformal gauge theories2012

    • Author(s)
      Haruhiko Terao
    • Organizer
      Exact Renormalization Group 2012
    • Place of Presentation
      Aussois, France
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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