Phase diagram and critical point evolution in NLO and NNLO strong coupling lattice QCD

Details Phase diagram and critical point evolution in NLO and NNLO strong coupling lattice QCD Phase diagram and critical point evolution in NLO and NNLO strong coupling lattice QCD

2009-10-10

arxiv.org/abs/0910.1896v2

PoS LAT2009:160,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures, presented at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking Universit

Scientific paper

We investigate the chiral phase transition in the strong coupling lattice QCD (SC-LQCD) at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an analytic formulation based on strong coupling and cluster expansions. We derive the effective potential as a function of two order parameters, the chiral condensate sigma and the vector potential \omega_\tau, in a self-consistent treatment of the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) effective action terms. Finite coupling effects lead to modifications of quark mass, chemical potential and the quark wave function renormalization factor. Finite coupling effects suppress the critical temperature at mu=0 (T_{c,mu=0}), while critical temperature at T=0 (mu_{c,T=0}) is not affected much. NNLO corrections does not significantly affect T_{c,mu=0} and mu_{c,T=0}, but the phase diagram shape including the position of the critical point is sensitive to the NNLO effects. Partially chiral restored matter is found to exist in NLO and NNLO SC-LQCD.

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