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Spontanous symmetry breaking and Nambu-Goldstone modes

Research Project

Project/Area Number 16K17716
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionInstitute of Physical and Chemical Research

Principal Investigator

Hidaka Yoshimasa  国立研究開発法人理化学研究所, 仁科加速器科学研究センター, 専任研究員 (00425604)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords自発的対称性の破れ / 南部ゴールドストンモード / 開放系 / 超対称性 / 数理物理
Outline of Final Research Achievements

Symmetry is one of the most important concepts in modern physics. It is known that gapless modes called the Nambu-Goldstone (NG) modes appear when symmetry is spontaneously broken. The relation between symmetry and the NG modes was established in isolated systems. In this work, we generalize the Nambu-Goldstone theory to open classical and quantum systems.

Academic Significance and Societal Importance of the Research Achievements

対称性の自発的破れとそれにともなう南部ゴールドストン(NG)モードの間を関係付ける南部ゴールドストンの定理は,相対論的な系において1960年代に確立していたが時空対称性,開放系といった系においては,対称性の破れとNGモードの関係はよくわかっていなかった.本研究によって内部対称性の破れにおいて開放を含む広い系で適用可能な一般的な定理を導出することができたことで,自然界に存在する様々なギャップレスモードの理解に繋がったという点で学術的意義は大きいと思う.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (17 results)

All 2020 2019 2018 2017 2016

All Journal Article (8 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 8 results,  Open Access: 2 results) Presentation (8 results) (of which Int'l Joint Research: 5 results,  Invited: 5 results) Book (1 results)

  • [Journal Article] Spontaneous symmetry breaking and Nambu-Goldstone modes in open classical and quantum systems2020

    • Author(s)
      Yoshimasa Hidaka, Yuki Minami
    • Journal Title

      Progress of Theoretical and Experimental Physics,

      Volume: 2020 Issue: 3

    • DOI

      10.1093/ptep/ptaa005

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids2018

    • Author(s)
      Yoshimasa Hidaka and Di-Lun Yang
    • Journal Title

      Physical Review D

      Volume: 98 Issue: 1 Pages: 016012-016012

    • DOI

      10.1103/physrevd.98.016012

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Spontaneous symmetry breaking and Nambu-Goldstone modes in dissipative systems2018

    • Author(s)
      Yuki Minami and Yoshimasa Hidaka
    • Journal Title

      PHYSICAL REVIEW E

      Volume: 97 Issue: 1

    • DOI

      10.1103/physreve.97.012130

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Nonlinear responses of chiral fluids from kinetic theory2018

    • Author(s)
      Yoshimasa Hidaka, Shi Pu, and Di-Lun Yang
    • Journal Title

      PHYSICAL REVIEW D

      Volume: 97 Issue: 1 Pages: 016004-016004

    • DOI

      10.1103/physrevd.97.016004

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Electric Conductivity of Hot and Dense Quark Matter in a Magnetic Field with Landau Level Resummation via Kinetic Equations2018

    • Author(s)
      Kenji Fukushima and Yoshimasa Hidaka
    • Journal Title

      Physical Review Letters

      Volume: 120 Issue: 16 Pages: 162301-162301

    • DOI

      10.1103/physrevlett.120.162301

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Goldstino in supersymmetric Bose-Fermi mixtures in the presence of a Bose-Einstein condensate2017

    • Author(s)
      Jean-Paul Blaizot, Yoshimasa Hidaka, and Daisuke Satow
    • Journal Title

      PHYSICAL REVIEW A

      Volume: 96 Issue: 6

    • DOI

      10.1103/physreva.96.063617

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] General formulae for dipole Wilson line correlators with the Color Glass Condensate2017

    • Author(s)
      Kenji Fukushima and Yoshimasa Hidaka
    • Journal Title

      Journal of High Energy Physics

      Volume: 2017 Issue: 11 Pages: 114-114

    • DOI

      10.1007/jhep11(2017)114

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Kinetic derivation of generalized phase space Chern-Simons theory2017

    • Author(s)
      Tomoya Hayata and Yoshimasa Hidaka
    • Journal Title

      Physical Review B

      Volume: 95 Issue: 12

    • DOI

      10.1103/physrevb.95.125137

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Presentation] QCD物性2020

    • Author(s)
      日高義将
    • Organizer
      第3回若手放談会:エキゾチック核物理の将来
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Spontaneous symmetry breaking and Nambu-Goldstone modes in open classical and quantum systems2019

    • Author(s)
      Yoshimasa Hidaka
    • Organizer
      Effective Theories of Quantum Phases of Matter
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Chiral kinetic theory and magnetic effect2018

    • Author(s)
      Yoshimasa Hidaka
    • Organizer
      The 7th Asian Triangle Heavy-Ion Conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子散逸系における南部・ゴールドストンの定理2017

    • Author(s)
      日高義将
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学 豊中キャンパス(大阪府豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] 非平衡場の理論と対称性2017

    • Author(s)
      日高義将
    • Organizer
      非平衡物理の最前線-素粒子・宇宙から物性まで-
    • Related Report
      2017 Research-status Report
  • [Presentation] Spontaneous symmetry breaking in open systems2017

    • Author(s)
      Yoshimasa Hidaka
    • Organizer
      Workshop of Recent Developments in QCD and Quantum Field Theories
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Spontaneous symmetry breaking in open systems2017

    • Author(s)
      Yoshimasa Hidaka
    • Organizer
      Discrete Approaches to the Dynamics of Fields and Space-Time
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Chiral kinetic equation with a collision term and anomalous transport from quantum field theory2017

    • Author(s)
      Yoshimasa Hidaka
    • Organizer
      Phases of Quantum Chromodynamics (QCD) and Beam Energy Scan Program with Heavy Ion Collisions
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Book] パリティ: 南部-ゴールドストンの定理の半世紀ぶりの一般化2016

    • Author(s)
      日高義将
    • Total Pages
      7
    • Publisher
      丸善株式会社
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2021-02-19  

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