有限同位旋密度時的超流與介子性質(zhì)(1)ppt課件

1、HENPHENP 有限同位旋密度時的有限同位旋密度時的超流與介子性質(zhì)超流與介子性質(zhì) Pion Superfluidity and Meson Properties at Finite Isospin Density 莊鵬飛莊鵬飛 (清華大學(xué)清華大學(xué)) Pengfei Zhuang (Tsinghua University) 1. Motivation 2. Quarks at MF + Mesons at RPA in NJL Model 3. Homogeneous and Inhomogeneous Pion Superfluid 4. Meson Properties and Mixin

2、g 5. Summary with Lianyi He, Meng Jin, Xuewen Hao and Gaofeng Sun PLB615,93(2005), PRD71,116001(2005), hep-ph/0604224,PRD,accepted, and the work in progressHENPHENP At extremely high T, , : perturbative QCD calculation1. MotivationSystems with possible pion superfluidity: compact stars isospin asymm

3、etric nuclear matter heavy ion collisions While there is no confinement, NJL is an often used effective model which enables us to see directly the phase transition mechanisms. IBIBAt moderate T, , : lattice QCD(Son,2001, Kogut,2002) and effective modelsIB What we want to do: pion superfluidity and c

4、hiral symmetry restoration at finite T, and HENPHENP 2. Quarks at MF + Mesons at RPA in NJL 22122222222()Tr Ln 0, 0, 0, 0, 0, 0, 0, 0uuddTGSV 22005NJLiLimGi , , ududuuddchiral and pion condensates and pair momentum (spontaneous symmetry breaking):quark propagator in MF (with off diagonal elements):

5、051502( , )2udpqmiGSp qiGkqm 0 2mmG22552, 222iq xiq xuidediue quark chemical potentials (explicit symmetry breaking):0/ 3/ 2000/ 3/ 2uBIdBIequation of state and gap equations: HENPHENP 553501, ,mmimimim 4*4( )Tr()( )(2 )mnmnd pkiS pkS pmeson polarization functions meson propagator at RPA pole of the

6、 propagator determines meson masses residues at the pole determine coupling constants mixing among normal in pion superfluid phase, they are no longer the eigen states of the system, the new eigen modes are linear combinations of the normal modes. 2. Quarks at MF + Mesons at RPA in NJL considering a

7、ll possible channels in the bubble summation000000000,01 2( )2( )2( )2( )2( )1 2( )2( )2( )det2( )2( )1 2( )2( )2( )2( )2( )1 2( )mkMkGkGkGkGkGkGkGkGkGkGkGkGkGkGkGkGk 0, mM, MqqgDHENPHENP 3. Homogeneous and Inhomogeneous Pion Superfluid IB chiral and pion condensates at in NJL comparison with Linear

8、 Sigma Model and Chiral Perturbation Theory analytic result: critical isospin chemical potential for pion superfluidity is exactly the pion mass in the vacuum: 0BTqcIm()BBnI pion superfluidity phase diagram in plane at T=0 : average Fermi surface : surface mismatch homogeneous (Sarma, ) and inhomoge

9、neous pion superfluid (LOFF, ) magnetic instability of Sarma state at high average Fermi surface leads to LOFF state0q 0q HENPHENP 4. Meson Properties and Mixing pion mass splitting due to explicit isospin breaking, Goldstone mode corresponding to spontaneous isospin breaking meson mixing angles in

10、pion superfluid meson coupling constants meson limit temperature cT pion superfluid critical temperature BEC BCS*THENPHENP 4. Meson Properties and Mixing a BEC-BCS crossover with increasing isospin density*TcT( , )2Im( , )kDk meson spectra function between the temperatures and HENPHENP 5. Summary In

11、 the frame of MF to quarks and RPA to mesons, *Homogeneous pion superfluid at low isospin density and inhomogeneous pion superfluid at high isospin density *Meson mass splitting due to explicit isospin breaking and meson mixing and Goldstone mode in pion superfluid *BEC-BCS crossover with increasing

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