China-Japan Nuclear Physics 2006

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Presentation transcript:

China-Japan Nuclear Physics 2006 强相互作用夸克－介子－双夸克等离子体的边界The Boundary of A Strongly Coupled Quark-Meson-Diquark Plasma 庄鹏飞(清华大学) Pengfei Zhuang (Tsinghua University) 1. Motivation 2. Quarks at MF + Mesons & Diquarks at RPA in NJL 3. Resonances 4. Numerical Results & Conclusion with Lianyi He and Meng Jin 2006-5-20 China-Japan Nuclear Physics 2006

China-Japan Nuclear Physics 2006 1. Motivation Shuryak, 2004: What RHIC tells us? Strongly coupled Quark-Gluon Plasma, HG to sQGP to wQGP Particles in sQGP are not quasiparticles but resonances pair dissociation line BCS Tc (1.5-2) Tc BEC sQGP (Shuryak) Color SuperConductor While there is no confinement, NJL is an often used effective model in the investigation of QCD phase transitions at moderate T and U. what we want to do: boundary of a strongly coupled quark-meson-diquark plasma 2006-5-20 China-Japan Nuclear Physics 2006

China-Japan Nuclear Physics 2006 2. Quarks at MF + Mesons & Diquarks at RPA in NJL chiral, pion and color condensates MF quark propagator in Nambu-Gorkov space 2006-5-20 China-Japan Nuclear Physics 2006

China-Japan Nuclear Physics 2006 2. Quarks at MF + Mesons & Diquarks at RPA in NJL diquark & meson polarization functions diquark & meson propagators at RPA pole determines diquark & meson masses for mesons for diquarks D1 & D2 for diquarks D3 residue at the pole determines coupling constants leading order of 1/N for quarks, and next to leading order for mesons & diquarks. symmetry breaking, Goldstone modes, symmetry restoration, hadron properties. 2006-5-20 China-Japan Nuclear Physics 2006

China-Japan Nuclear Physics 2006 2. Quarks at MF + Mesons & Diquarks at RPA in NJL Gapless CSC induced by mismatched Fermi surfaces: Huang, Liao, Zhuang: PRD2002,2003, Huang,Shovkovy,PLB2003 Goldstone modes in CSC and Pion superfluidity, He, Jin, Zhuang: PLB2005, PRD2005,2006 Competition between Gapless state and LOFF state He, Jin, Zhuang: PRB2006, PRD2006 2006-5-20 China-Japan Nuclear Physics 2006

China-Japan Nuclear Physics 2006 3. Resonances critical temperature for chiral restoration mesons & diquarks are in bound states mesons & diquarks are in resonant states pair dissociation line BCS Tc (1.5-2) Tc BEC sQGP (Shuryak) 2006-5-20 China-Japan Nuclear Physics 2006

China-Japan Nuclear Physics 2006 4. Numerical Results & Conclusion with the assumption 1) The boundary of meson (diquark) state is determined by the disappearance of the corresponding pole. 2) The maximum limit temperature and the maximum chemical potential are about 2 times the critical values for chiral phase transition, which agree with the lattice calculation. 3) Meson state can survive at higher temperatures, which agrees with the qualitative estimation. Thanks for your patience 2006-5-20 China-Japan Nuclear Physics 2006