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Study of mechanisms of entropy production and dynamical properties at high temperature and density

Research Project

Project/Area Number 16K05350
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 InstitutionKyoto University

Principal Investigator

Kunihiro Teiji  京都大学, 理学研究科, 名誉教授 (20153314)

Co-Investigator(Kenkyū-buntansha) 大西 明  京都大学, 基礎物理学研究所, 教授 (70250412)
高橋 徹  群馬工業高等専門学校, 一般教科(自然), 准教授 (70467405)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords量子色力学 / エントロピー / 伏見関数 / QCD臨界点 / ソフトモード / ゲージ場理論におけるエントロピー生成 / 半古典近似 / 等方化 / 古典場の粘性率 / グリーン-久保公式 / エントロピー生成 / 熱化 / コルモゴロフ-シナイエントロピー / リャプーノフ指数 / 量子色力学(QCD) / 伏見-Wehrl エントロピー / ヤンーミルズ系のカオス / QCD臨界点 / 汎関数くりこみ群法 / 場の理論におけるエントロピー生成 / 非平衡ダイナミクス
Outline of Final Research Achievements

1)Husimi function, which is a coarse-grained quantum distribution function was computed for the guluon system described as a quantum Yang-Mills theory, and directly calculated entropy as the Husimi-Wehrl entropy to examine the possible creation of entropy. We have shown that entropy is certainly created in the semiclassical approximation. 2) Shear viscocity was computed in a classical field theory that is interpreted to describing an infrared dynamics of the quantum field theory. It was found that the infrared dynamics may dominate to give the shear viscocity of the theory. 3)On the basis of the functional renormalization group method(FRG), we clarified the phase diagram at finite temperature and density, and identified the QCD critical point. FRG is further applied to exlore the nature of the specific collective modes associated to the critical point, and showed that the quark matter is likely to undergo a phase
transition to an inhomogeneous phase.

Academic Significance and Societal Importance of the Research Achievements

量子場の動的な性質の研究においてこれまでは現象論的に取り入れていた量子効果を古典-量子対応が明確な分布関数を用いて直接的に取り入れることに成功した。具体的には、超高温においてハドロンから解放されるグルーオン場の伏見関数と呼ばれる分布関数の時間依存性を求め半古典論によりエントロピーを直接計算することに成功した。この研究は量子力学の観測理論あるいは宇宙初期の熱化過程に関連し我々基礎物理学全体へも大きいインパクトを与え得る。さらに、クォークやグルーオン系の相転移およびそこでのダイナミカルな性質についても精度のよい計算を行い、系が非一様な状態に相転移し得ることを示した。

Report

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

    (20 results)

All 2019 2018 2017 2016

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Open Access: 2 results,  Acknowledgement Compliant: 2 results) Presentation (17 results) (of which Int'l Joint Research: 7 results,  Invited: 5 results)

  • [Journal Article] Entropy production and isotropization in Yang-Mills theory using a quantum distribution function2018

    • Author(s)
      Tsukiji Hidekazu、Kunihiro Teiji、Ohnishi Akira、Takahashi Toru T
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2018 Issue: 1 Pages: 1-17

    • DOI

      10.1093/ptep/ptx186

    • NAID

      120006496961

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Entropy production from chaoticity in Yang-Mills field theory with use of the Husimi function2016

    • Author(s)
      Hidekazu Tsukiji, Hideaki Iida, Teiji Kunihiro, Akira Ohnishi, Toru T. Takahashi
    • Journal Title

      Physical Review D

      Volume: 94 Issue: 9 Pages: 1-6

    • DOI

      10.1103/physrevd.94.091502

    • NAID

      120006496957

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Functional renormalization group analysis of the soft mode at the QCD critical point2016

    • Author(s)
      Takeru Yokota, Teiji Kunihiro, Kenji Morita
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: - Issue: 7 Pages: 1-22

    • DOI

      10.1093/ptep/ptw062

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] 古典ヤンミルズ場におけるずり粘性2019

    • Author(s)
      松田英史, 大西明, 国広悌二, 高橋徹
    • Organizer
      日本物理学会第74回年次大会、2019年3月14日-17日、九州大学(伊都キャンパス)
    • Related Report
      2018 Annual Research Report
  • [Presentation] 相対論的重イオン衝突における古典ヤンミルズ場のデコヒーレンスエントロピー生成2018

    • Author(s)
      松田英史, 国広悌二, 大西明, 高橋徹, 飯田英明, 築地秀和
    • Organizer
      日本物理学会第73回年次大会、2018年3月22日-25日、東京理科大野田キャンパス
    • Related Report
      2018 Annual Research Report
  • [Presentation] Thermalization and viscosity of classical fields2018

    • Author(s)
      H.Matsuda, T.Kunihiro, A.Ohnishi and T.T. Takahashi
    • Organizer
      5th Joint Meeting of the APS Division of Nuclear Physics and the Physical Society of Japan ,October 23-27, 2018; Waikoloa, Hawaii
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 相対論的重イオン衝突におけるデコヒーレンスエントロピー生成2018

    • Author(s)
      松田英史, 国広悌二、大西明、高橋徹、飯田英明、築地秀和
    • Organizer
      日本物理学会年会
    • Related Report
      2017 Research-status Report
  • [Presentation] Early time production of the Husimi-Wehrl entropy in the Yang-Mills field from the McLerran-Venugopalan model initial condition2017

    • Author(s)
      H.Tsukiji,H.Iida, T.Kunihiro, A.Ohnishi and T.T.Takahashi
    • Organizer
      YITP workshop,`Strangeness and charm in hadrons and dense matter'
    • Related Report
      2017 Research-status Report
  • [Presentation] Microscopic derivation of (non-)relativistic second-order hydrodynamics from Boltzmann equation2017

    • Author(s)
      Teiji Kunihiro
    • Organizer
      YITP workshop,`Strangeness and charm in hadrons and dense matter'
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Early-stage entropy production in the semiclassical approximation2017

    • Author(s)
      H.Tsukiji, T.Kunihiro, A. Ohnishi, T.T. Takahashi
    • Organizer
      4th International Conference on the Initial Stages in High-Energy Nuclear Collisions
    • Related Report
      2017 Research-status Report
  • [Presentation] Semiclassical approach to thermalization process in Yang-Mills field theory2017

    • Author(s)
      H.Tsukiji, T.Kunihiro, A. Ohnishi, T.T. Takahashi
    • Organizer
      YITP workshop `Quantum Thermodynamics: Thermalization and Fluctuations
    • Related Report
      2017 Research-status Report
  • [Presentation] 相対論的重イオン衝突におけるエントロピー生成-膨張系における解析-2017

    • Author(s)
      築地秀和、国広悌二、大西明、高橋徹
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学
    • Related Report
      2016 Research-status Report
  • [Presentation] 汎関数くりこみ群に基づいたQCD臨界点におけるソフトモードの新たな描像,2017

    • Author(s)
      横田猛、国広悌二、森田健二
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪大学(豊中キャンパス)
    • Related Report
      2016 Research-status Report
  • [Presentation] Some Topics in hot and dense matter in QCD --- with a focus on the soft modes of QCD phase transitions ---2016

    • Author(s)
      T. Kunihiro
    • Organizer
      The 34th Reimei Workshop, Physics of Heavy-Ion Collisions at J-PARC
    • Place of Presentation
      J-PARC, Tokai, Japan
    • Year and Date
      2016-08-08
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Renormalization group method for construction of the invariant manifold and its application to a resolution of Hilbert’s sixth problem with quantum statistics2016

    • Author(s)
      T. Kunihiro
    • Organizer
      Workshop ``Hilbert’s Sixth Problem
    • Place of Presentation
      Leicester University, Leicester, UK
    • Year and Date
      2016-05-02
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Thermalization process from chaoticity in Yang-Mills theory by use of the Husimi function2016

    • Author(s)
      H.Tsukiji, H.Iida, T.Kunihiro, A.Ohnishi and T.T.Takahashi
    • Organizer
      Quantum Information in String Theory and Many-body Systems
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] McLerran-Venugopalan模型に基づく量子論的初期条件からのエンとろぴー生成2016

    • Author(s)
      築地秀和、国広悌二、大西明、高橋徹
    • Organizer
      日本物理学会
    • Place of Presentation
      宮崎大学
    • Related Report
      2016 Research-status Report
  • [Presentation] Spectral functions in functional renormalization group approach --analysis of the collective soft modes at the QCD critical point--,2016

    • Author(s)
      T.Yokota, T. Kunihiro and K. Morita
    • Organizer
      8th International Conference on the Exact Renormalization Group
    • Place of Presentation
      International Centre for Theoretical Physics, Trieste, Italy
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Novel picture of the soft modes at the QCD critical point based on the FRG method2016

    • Author(s)
      T.Yokota, T. Kunihiro and K. Morita
    • Organizer
      Critical Point and Onset of Deconfinement 2016
    • Place of Presentation
      University of Wroc{\l}aw, Wroc{\l}aw, Poland
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Some Topics in Hot and Dense Matter in QCD2016

    • Author(s)
      T. Kunihiro
    • Organizer
      Colloquium at Yonsei University
    • Place of Presentation
      Yonsei University, Korea
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited

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Published: 2016-04-21   Modified: 2020-03-30  

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