Study of Dynamical Properties around the QCD Critical Points based on Chiral Effective Theory

• Project/Area Number: 20540265
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kyoto University
• Principal Investigator: KUNIHIRO Teiji Kyoto University, 理学研究科, 教授 (20153314)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 原子核理論 / 量子色力学(QCD) / QCD臨界点 / カイラル相転移 / カラー超伝導 / ベクトル相互作用 / 軸性異常 / クォークスペクトル / 3ピーク構造 / 量子色力学 / 臨界点 / 相対論的流体方程式 / 密度ゆらぎ / 熱ゆらぎ / マッハコーン / QCD / 相転移 / カイラル対称性 / エントロピー生成 / 輸送係数

Research Abstract

We have shown on the basis of the chiral effective theory that the QCD matter can have a multiple-critical points structure under charge neutrality. The soft dynamics around the typical QCD critical point has been shown to be dominated by the energy fluctuations. A generic class of hydrodynamic equations for a viscous fluid has been derived by applying the so called renormalization-group method. We have shown that the mysterious early thermalization of the QCD matter suggested by RHIC experiments can be attributed to the chaotic behavior of the nonlinear dynamics of the classical Yang-Mills field. A novel diagrammatical method for computing the transport coefficients in the relativistic quantum field theory has been developed. We have established that the quark spectral function gets to develop an ultrasoft mode at high temperature generically.

Research Products

• [Journal Article] Renormalized Kinetic Theory as derived from quantum field theory ; A novel diagrammatic method for computing transport coefficients (2011)
  • Author(s): Y.Hidaka T.Kunihiro
  • Journal Title: Phys.Rev.D83 076004 Pages: 18-18
• [Journal Article] Spectral Function of Fermion Coupled with Massive Vector Boson at Finite Temperature in Gauge Invariant Formalism (2011)
  • Author(s): D.Satow, Y.Hidaka T.Kunihiro
  • Journal Title: Phys.Rev.D83 045017 Pages: 21-21
  • NAID: 120002970861
• [Journal Article] Spectral Function of Fermion Coupled with Massive Vector Boson at Finite Temperature in Gauge Invariant Formalism (2011)
  • Author(s): D.Satow, et al
  • Journal Title: Phys.Rev.D Volume: 83
  • Peer Reviewed
• [Journal Article] Chaotic behavior of classical Yang-Mills dynamics (2010)
  • Author(s): T.Kunihiro, B.Muller, A.Ohnishi A.Schafer, T.T.Takahashi A.Yamamoto
  • Journal Title: Phys.Rev.D82 114015 Pages: 9-9
• [Journal Article] Second-order Relativistic Hydrodynamic Equations for Viscous Systems : How does the dissipation affects the internal energy? (2010)
  • Author(s): K.Tsumura T.Kunihiro
  • Journal Title: Phys.Lett.B690 Pages: 255-260
• [Journal Article] QCD Critical Points and Their Associated Soft Modes (2010)
  • Author(s): T.Kunihiro, et al
  • Journal Title: Prog.Theor.Phys.Supplement Volume: 186 Pages: 447-454
  • Peer Reviewed
• [Journal Article] Nature of the sigma meson as revealed by its softening process (2010)
  • Author(s): T.Hyodo, et al
  • Journal Title: Nucl.Phys.A Volume: 848 Pages: 341-365
  • Peer Reviewed
• [Journal Article] Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics -Possible fate of Mach cone at the critical point- (2009)
  • Author(s): Y.Minami T.Kunihiro
  • Journal Title: Prog.Theor.Phys. 122 Pages: 891-910
  • NAID: 110007465751
• [Journal Article] Toward a Theory of Entropy Production in the little and Big Bang (2009)
  • Author(s): T.Kunihiro, B.Muller, A.Ohnishi A.Schafer
  • Journal Title: Prog.Theor.Phys. 121 Pages: 555-575
  • NAID: 110007339346
• [Journal Article] Vector interaction, charge neutrality and multiple chiral critical point structures (2009)
  • Author(s): Z.Zhang Teij Kunihiro
  • Journal Title: Phys.Rev.D80 01405 Pages: 14-14
• [Journal Article] Number of the QCD critical points with neutral color superconductivity (2009)
  • Author(s): Z.Zhang, K.Fukushima T.Kunihiro
  • Journal Title: Phys.Rev.D79 014004 Pages: 13-13
• [Journal Article] Vector interaction, charge neutrality and multiple chiral critical point structures (2009)
  • Author(s): Z.Zhang, Teij Kunihiro
  • Journal Title: Phys.Rev.D 80
  • Peer Reviewed
• [Journal Article] Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics- (2009)
  • Author(s): Yuki Minami, Teiji Kunihiro
  • Journal Title: Prog.Theor.Phys. 122 Pages: 891-910
  • Peer Reviewed
• [Journal Article] X Meson aka eta-prime and Kobayashi-Maskawa-'t Hooft Six-quark Vertex (2009)
  • Author(s): Teiji Kunihiro
  • Journal Title: Prog.Theor.Phys. 122 Pages: 255-271
  • Peer Reviewed
• [Journal Article] Number of the QCD critical points with neutral color superconductivity (2009)
  • Author(s): Z. Zhao, et al.
  • Journal Title: Phys. Rev. D 79 Pages: 14004-14004
  • Peer Reviewed
• [Journal Article] Towards a Theory of Entropy Production in the Little and Big Bang (2009)
  • Author(s): T. Kunihiro, et al.
  • Journal Title: Prog. Theor. Phys. 121 Pages: 555-575
  • NAID: 110007339346
  • Peer Reviewed
• [Journal Article] The low-lying Scalar Mesons and Related Topics (2009)
  • Author(s): T. Kunihiro, et al.
  • Journal Title: Nucl. Phys. Proc. Suppl. 186 Pages: 294-297
  • Peer Reviewed
• [Journal Article] Axial charges of N(1535) and N(1650) in lattice QCD with two flavors of dynamical quarks (2008)
  • Author(s): T. T. Takahashi, et al.
  • Journal Title: Phys. Rev. D 78 Pages: 11503-11503
  • Peer Reviewed
• [Journal Article] In-medium Pion and Partial Restoration of Chiral Symmetry (2008)
  • Author(s): D. Jido, et al.
  • Journal Title: Phys. Lett. B 670 Pages: 109-113
  • Peer Reviewed
• [Journal Article] A novel quasi-particle picture of massless and massive quarks coupled with a massive boson at finite temperature and its effect on the dilepton production rate (2008)
  • Author(s): K. Mitsutani, et al.
  • Journal Title: Prog. Theor. Phys. Suppl. 174 Pages: 262-265
  • Peer Reviewed
• [Presentation] QCD相転移と臨界現象 (2011)
  • Author(s): 国広悌二
  • Organizer: 研究会「バリオン物質と中性子星」
  • Place of Presentation: 盛岡市、繋温泉
  • Year and Date: 2011-01-30
• [Presentation] Chiral Transition and Axial Anomaly in QCD and Related Topics (2010)
  • Author(s): T Kunihira
  • Organizer: 'Zimanyi 10', Winter School on Heavy Ion Physics Nov.29-Dec.3,2010
  • Place of Presentation: KFKI,ハンガリー、ブダペスト(招待講演)
  • Year and Date: 2010-12-02
• [Presentation] Soft modes around QCD critical points (2010)
  • Author(s): T.Kunihiro
  • Organizer: Nonperturbative Aspects of QCD at Finite Temperature and Density
  • Place of Presentation: 筑波大学(招待講演)
  • Year and Date: 2010-10-09
• [Presentation] Density fluctuations around the QCD critical point : role of the vector interaction (2010)
  • Author(s): T.Kunihiro
  • Organizer: ECT^*-EMMI International Workshop on Chiral Symmetry and Confinement in Cold, Dense Quark Matter July 19-23, 2010, ECT^*
  • Place of Presentation: ECT^*.イタリア、トレント(招待講演)
  • Year and Date: 2010-07-21
• [Presentation] 核-ハドロン-クォーク物質の相転移とその前駆現象 (2010)
  • Author(s): 国広悌二
  • Organizer: 土岐教授退職記念講演会「クォーク核物理学」
  • Place of Presentation: 大阪大学、荒田記念ホール(招待講演)
  • Year and Date: 2010-06-05
• [Presentation] 質量を持つベクトル粒子と結合したフェルミオンの有限温度におけるスペクトル関数-3ピーク構造のゲージ非依存性 (2010)
  • Author(s): 佐藤大輔、日高義将、国広悌二
  • Organizer: 日本物理学会第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-20
• [Presentation] 質量を持つべクトル粒子と結合したフェルミオンの有限温度におけるスペクトル関数-3ピーク構造のゲージ非依存性 (2010)
  • Author(s): 佐藤大輔、日高義将、国広悌二
  • Organizer: 日本物理学会第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-20
• [Presentation] 場の理論における新しい輸送係数の計算方法とその応用 (2010)
  • Author(s): 日高義将、国広悌二
  • Organizer: 日本物理学会第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-20
• [Presentation] QCD Critical Points and Associated Soft Modes (2010)
  • Author(s): Teiji Kunihiro
  • Organizer: New Frontiers in QCD 2010---Exotic Hadron Systems and Dense Matter---
  • Place of Presentation: YITP, Kyoto
  • Year and Date: 2010-03-10
• [Presentation] 改善された摂動論によるフェルミオン的ソフトモードの解析 (2010)
  • Author(s): 佐藤大輔、日高義将、国広悌二
  • Organizer: 日本物理学会2010年秋季大会
  • Place of Presentation: 九州工業大学
• [Presentation] Density fluctuations around the QCD critical point : role of the vector Interaction (2010)
  • Author(s): 国広悌二
  • Organizer: ECT*--EMMI International Workshop on Chiral Symmetry and Confinement in Cold Dense Quark Matter
  • Place of Presentation: ECT*, Trento, Italy
• [Presentation] 相対論的流体力学方程式の微視的導出に関する最近の試み (2009)
  • Author(s): 国広悌二
  • Organizer: 第十三回Heavy Ion Cafe「相対論的流体力学と高エネルギー重イオン反応:来し方行く末」
  • Place of Presentation: 東京大学(本郷)理学部1号館2階大学院講義室
  • Year and Date: 2009-11-14
• [Presentation] Chiral Symmetry and Axial Anomaly in Hadron and Nuclear Physics---a review--- (2009)
  • Author(s): Teiji Kunihiro
  • Organizer: 7th Japan-China Joint Nuclear Physics Symposium
  • Place of Presentation: University of Tsukuba Ibaraki, Japan
  • Year and Date: 2009-11-09
• [Presentation] Critical Properties of Quark Matter at Finite Temperature and Density (2009)
  • Author(s): Teiji Kunihiro
  • Organizer: 3rd Joint Meeting of the Nuclear Physics Division of the Physical Society of Japan and the American Physical Society
  • Place of Presentation: Waikoloa, Hawaii, USA
  • Year and Date: 2009-10-16
• [Presentation] Spectral function of a fermion coupled with a massive vector particle at finite temperature-analysis on gauge dependence in the Stueckelberg formalism (2009)
  • Author(s): 佐藤大輔, 日高義将, 国広悌二
  • Organizer: 3rd Joint Meeting of the Nuclear Physics Division of the Physical Society of Japan and the American Physical Society
  • Place of Presentation: Waikoloa, Hawaii, USA
  • Year and Date: 2009-10-15
• [Presentation] Attenuation of Dynamical Density Fluctuation around QCD Critical Point and Its Phenomenological Implications (2009)
  • Author(s): 南佑樹, 国広悌二
  • Organizer: 3rd Joint Meeting of the Nuclear Physics Division of the Physical Society of Japan and the American Physical Society
  • Place of Presentation: Waikoloa, Hawaii, USA
  • Year and Date: 2009-10-15
• [Presentation] Novel diagrammatic method for computing transport coefficients---beyond the Boltzmann approximation--- (2009)
  • Author(s): Y.Hidaka, T.Kunihiro
  • Organizer: 3rd Joint Meeting of the Nuclear Physics Division of the Physical Society of Japan and the American Physical Society
  • Place of Presentation: Waikoloa, Hawaii, USA
  • Year and Date: 2009-10-15
• [Presentation] Spectral function of a fermion coupled with a massive vector particle at finite temperature---analysis on gauge dependence in the Stueckelberg formalism (2009)
  • Author(s): D.Sato, Y.Hidaka, T.Kunihiro
  • Organizer: 3rd Joint Meeting of the Nuclear Physics Division of the Physical Society of Japan and the American Physical Society
  • Place of Presentation: Waikoloa, Hawaii, USA
  • Year and Date: 2009-10-15
• [Presentation] Toward Identifying the QCD Critical Point : Attenuation of the sound mode around the critical point (2009)
  • Author(s): 国広悌二
  • Organizer: 5th International Workshop on Critical Point and Onset of Deconfinement (CPOD), BNL
  • Place of Presentation: USA
  • Year and Date: 2009-06-09
• [Presentation] Toward Identifying the QCD Critical Point : Attenuation of the sound mode around the critical point (2009)
  • Author(s): Teiji Kunihiro
  • Organizer: 5th International Workshop on Critical Point and Onset of Deconfinement(CPOD)
  • Place of Presentation: BNL, NY, USA
  • Year and Date: 2009-06-09
• [Presentation] Derivation of Second-order Relativistic Fluid Dynamical Equations from Boltzmann equation (2009)
  • Author(s): 国広悌二、津村享佑
  • Organizer: 第12回Heavy Ion Cafe"Towards Understanding of QGP Transport Properties"
  • Place of Presentation: 東京大学(本郷)理学部1号館2階大学院講義室
  • Year and Date: 2009-05-09
• [Presentation] Critical Opalescence around the QCD Critical Point and Second-order Relativistic Hydrodynamic Equations Compatible with Boltzmann Equation (2009)
  • Author(s): 国広悌二, 南佑樹, 津村享佑
  • Organizer: International Conference`Quark Matter 2009
  • Place of Presentation: Knoxville, USA
  • Year and Date: 2009-03-31
• [Presentation] Critical Opalescence around the QCD Critical Point and Second-order Relativistic Hydrodynamic Equations Compatible with Boltzmann Equation (2009)
  • Author(s): T.Kunihiro, Y.Minami, K.Tsumura
  • Organizer: Quark Matter 2009
  • Place of Presentation: Knoxville, Tnn.USA
  • Year and Date: 2009-03-31
• [Presentation] 相対論的散逸流体方程式による「臨界たんぱく光」 (2009)
  • Author(s): 南佑樹、国広悌二, 津村享佑
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] Towards a Theory of Entropy Production in the Little and Big Bang (2009)
  • Author(s): 大西明
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] クォーク・グルーオンプラズマ相の素励起と輸送 (2008)
  • Author(s): 国広悌二
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 山形大学
  • Year and Date: 2008-09-22
• [Presentation] Israel-Stewart方程式の「くり込み群法」による導出 (2008)
  • Author(s): 国広悌二
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 山形大学
  • Year and Date: 2008-09-20
• [Presentation] Various Phases in QCD ; Elementary Excitations and Transport Phenomena (2006)
  • Author(s): Teiji Kunihiro
  • Organizer: 7th Nuclear Physics School 2009(NPS2009)
  • Place of Presentation: APCTP, Pohang, Korea
• [Remarks] ホームページ等