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Examination of the physical pictures of the field theories with nonlinearly realized symmetries by the Wilsonian renormalization group method

Research Project

Project/Area Number 22540286
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 InstitutionKyushu University

Principal Investigator

HARADA Koji  九州大学, 大学院・理学研究院, 教授 (00202268)

Co-Investigator(Renkei-kenkyūsha) YAMAMOTO Yuki  東北公益文化大学, 公益学部, 講師 (20348816)
KUBO Hirofumi  佐賀大学, シンクロトロン光応用研究センター, 特命研究員 (40573506)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords素粒子(理論) / 繰り込み群 / 有効場理論 / 非自明固定点 / Wilson流繰り込み群 / 非線形対称性
Research Abstract

We propose a method of determining the power counting rule for Nuclear Effective Field Theory, which reflects chiral symmetry of QCD, the fundamental theory of strong interactions. The method is based on the scaling dimensions obtained by the nonperturbative, or Wilsonian, renormalization group analysis. We show that the resulting power counting rule turns out to be very similar to that proposed by Kaplan, Savage, and Wise. We also propose a practical scheme of calculating the nucleon-nucleon scattering phase shift on the basis of the analysis and perform the calculations.

Report

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

    (34 results)

All 2013 2012 2011 2010

All Journal Article (7 results) (of which Peer Reviewed: 7 results) Presentation (25 results) (of which Invited: 1 results) Book (2 results)

  • [Journal Article] Wilsonian renormalization group analysis of nonrelativistic three-body systems without introducing dimerons2013

    • Author(s)
      Koji Harada, Hirofumi Kubo, and Issei Yoshimoto
    • Journal Title

      Phys. Rev. D

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Wilsonian RG Analysis of the P-wave Nucleon-Nucleon Scattering Including Pions2013

    • Author(s)
      Koji Harada, Hirofumi Kubo, TatsuyaSakaeda, and Yuki Yamamoto
    • Journal Title

      Few-Body Syst

      Volume: 54 Issue: 7-10 Pages: 1483-1486

    • DOI

      10.1007/s00601-012-0541-9

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Practical Calculational Scheme Implementing the Wilsonian RG Results for Nuclear Effective Field Theory Including Pions2013

    • Author(s)
      H.Kubo, H. Harada, T. Sakaeda, and Y. Yamamoto
    • Journal Title

      Few-Body Syst

      Volume: 54 Issue: 1-4 Pages: 245-249

    • DOI

      10.1007/s00601-012-0349-7

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pions in Nuclear Effective Field Theory: How They Behave Differently at Different Scales and How They Decouple at Very Low Energies2013

    • Author(s)
      Koji Harada, Hirofumi Kubo, Tatsuya Sakaeda, and Yuki Yamamoto
    • Journal Title

      Few-Body Syst

      Volume: 54 Issue: 1-4 Pages: 239-243

    • DOI

      10.1007/s00601-012-0348-8

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Wilsonian renormalization group analysis of nonrelativistic three-body systems without introducing dimerons2013

    • Author(s)
      Koji Harada
    • Journal Title

      Physical Review

      Volume: D87 Issue: 8

    • DOI

      10.1103/physrevd.87.085006

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions2011

    • Author(s)
      Koji Harada, Hirofumi Kubo, and Yuki Yamamoto
    • Journal Title

      Phys. Rev. C

      Volume: 83 Issue: 3

    • DOI

      10.1103/physrevc.83.034002

    • NAID

      120004979408

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pions are neither perturbative nor nonperturbative : Wilsonian renormalization-group analysis of nuclear effective field theory including pions2011

    • Author(s)
      K.Harada, H.Kubo, Y.Yamamoto
    • Journal Title

      Physical Review C

      Volume: C83, No.3

    • NAID

      120004979408

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Wilson流くりこみ群を用いたmass imbalanced Fermi 系の解析2013

    • Author(s)
      吉本一世,原田恒司、遠藤晋平
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学東広島キャンパス
    • Year and Date
      2013-03-29
    • Related Report
      2012 Final Research Report
  • [Presentation] Life without dimerons2013

    • Author(s)
      Koji Harada
    • Organizer
      The 6th International Conference on the Exact Renormalization Group
    • Place of Presentation
      Centre Paul Langevin (Aussois), France
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Wilsonian RG analysis of the P-wave nucleon-nucleon scattering including pions2013

    • Author(s)
      Koji Harada
    • Organizer
      The 20th International IUPAP Conference on Few-Body Problems in Physics (FB20)
    • Place of Presentation
      Fukuoka International Congress Center, Japan
    • Related Report
      2012 Annual Research Report
  • [Presentation] 非相対論的な 3 体系と limit cycle2012

    • Author(s)
      原田恒司、久保博史、吉本一世
    • Organizer
      日本物理学会2012 年秋季大会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2012-09-11
    • Related Report
      2012 Final Research Report
  • [Presentation] パイ中間子を含む核子系有効場理論による二核子系の解析 -ウィルソン流くり込み群の解析に基づいた計算-2012

    • Author(s)
      久保博史、 原田恒司、榮田達也、 山本裕樹
    • Organizer
      日本物理学会2012 年秋季大会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2012-09-11
    • Related Report
      2012 Final Research Report
  • [Presentation] Life without dimerons2012

    • Author(s)
      Koji Harada
    • Organizer
      The 6th International Conference on the Exact Renormalization Group
    • Place of Presentation
      Centre Paul Langevin (Aussois), France.
    • Year and Date
      2012-09-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Wilsonian RG analysis of the P-wave nucleon-nucleon scattering including pions2012

    • Author(s)
      Koji Harada, Hirofumi Kubo, Tatsuya Sakaeda, and Yuki Yamamoto
    • Organizer
      The 20thInternational IUPAP Conference on Few-Body Problems in Physics (FB20)
    • Place of Presentation
      福岡国際会議場
    • Year and Date
      2012-08-20
    • Related Report
      2012 Final Research Report
  • [Presentation] 非相対論的な 3 体系の Wilson 流繰り込み群による解析2012

    • Author(s)
      原田恒司、久保博史、吉本一世
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ヶ原キャンパス
    • Year and Date
      2012-03-25
    • Related Report
      2012 Final Research Report
  • [Presentation] 核子系有効場理論を用いた核子-核子散乱の繰り込み群に基づく解析2012

    • Author(s)
      榮田達也、 原田恒司、 久保博史、 山本裕樹
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ヶ原キャンパス
    • Year and Date
      2012-03-25
    • Related Report
      2012 Final Research Report
  • [Presentation] 核子有効場理論を用いた核子-核子散乱の繰り込み群に基づく解析2012

    • Author(s)
      榮田達也、原田恒司、久保博史、山本裕樹
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ヶ原キャンパス
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 非相対論的な3体系のWilson流繰り込み群による解析2012

    • Author(s)
      原田恒司、久保博史、吉本一世
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ヶ原キャンパス
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 非相対論的な3体系と limit cycle2012

    • Author(s)
      吉本一世
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      京都産業大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] パイ中間子を含む核子系有効場理論による二核子系の解析 - ウィルソン流くり込み群の解析に基づいた計算 -2012

    • Author(s)
      久保博史
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      京都産業大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] パイ中間子は摂動的か非摂動的か?-Wilson流繰り込み群による核子有効場理論の解析2011

    • Author(s)
      久保博史、原田恒司、柴田達也、山本裕樹
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      弘前大学文京町キャンパス
    • Year and Date
      2011-09-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] 核子有効場理論の繰り込み群に基づく核子-核子散乱の解析2011

    • Author(s)
      柴田達也、原田恒司、久保博史、山本裕樹
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      弘前大学文京町キャンパス
    • Year and Date
      2011-09-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] Wilsonian view on the nuclear effective field theory2011

    • Author(s)
      Koji Harada
    • Organizer
      Workshop on 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
      2011-08-31
    • Related Report
      2012 Final Research Report
  • [Presentation] A Wilsonian view on the nuclear effective field theory2011

    • Author(s)
      原田恒司
    • 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
      2011-08-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Practical calculational scheme implementing the Wilsonian RG results for nuclear effective field theory including pions2011

    • Author(s)
      Kubo Hirofumi, Harada Koji, and Yuki Yamamoto
    • Organizer
      Asia-pacific Conference on Few-Body Problems in Physics 2011
    • Place of Presentation
      Seoul, the Republic of Korea
    • Year and Date
      2011-08-22
    • Related Report
      2012 Final Research Report
  • [Presentation] Pions in Nuclear Effective Field Theory: How They Behave Differently at Different Scales and How They Decouple at Very Low Energies2011

    • Author(s)
      Koji Harada, Kubo Hirofumi, and Yuki Yamamoto
    • Organizer
      Asia-pacific Conference on Few-Body Problems in Physics
    • Place of Presentation
      Seoul, the Republic of Korea.
    • Year and Date
      2011-08-22
    • Related Report
      2012 Final Research Report
  • [Presentation] Pions in Nuclear Effective Field Theory : How They Behave Differently at Different Scales and How They Decouple at Very Low Energies2011

    • Author(s)
      原田恒司、久保博史、山本裕樹
    • Organizer
      Asia-Pacific Conference on Few-Body Problems in Physics 2011
    • Place of Presentation
      Seoul, Republic of Korea
    • Year and Date
      2011-08-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] Practical calculational scheme implementing the Wilsonian RG results for nuclear effective field theory including pions2011

    • Author(s)
      久保博史、原田恒司、山本裕樹
    • Organizer
      Asia-Pacific Conference on Few-Body Problems in Physics 2011
    • Place of Presentation
      Seoul, Republic of Korea
    • Year and Date
      2011-08-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] 1 核子カイラル摂動論における外見上不変でない項(ANTs)2010

    • Author(s)
      原田恒司、 久保博史、 山本裕樹、吉本一世
    • Organizer
      日本物理学会 2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-09-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Wilson流繰り込み群を用いた pionful NEFT の解析2010

    • Author(s)
      久保博史、原田恒司、山本裕樹
    • Organizer
      日本物理学会 2010 年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-09-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Wilson流繰り込み群を用いたpionful NEFTの解析2010

    • Author(s)
      久保博史、原田恒司、山本裕樹
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-09-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] 1核子系カイラル摂動論における外見上不変でない項(ANTs)2010

    • Author(s)
      原田恒司、久保博史、山本裕樹、吉本一世
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学戸畑キャンパス
    • Year and Date
      2010-09-12
    • Related Report
      2010 Annual Research Report
  • [Book] 素粒子物理学ハンドブック(山田作衛、他編集)2012

    • Author(s)
      原田恒司(共著)
    • Publisher
      朝倉書店
    • Related Report
      2012 Final Research Report
  • [Book] 素粒子物理学ハンドブック(山田作衛、他編集)2010

    • Author(s)
      原田恒司(共著)
    • Publisher
      朝倉書店
    • Related Report
      2010 Annual Research Report

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

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