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Abstract: We investigate the chiral phase transition in the strong coupling lattice QCDSC-LQCD at finite temperature and density with finite coupling effects. Weadopt one species of staggered fermion, and develop an analytic formulationbased on strong coupling and cluster expansions. We derive the effectivepotential as a function of two order parameters, the chiral condensate sigmaand the vector potential \omega \tau, in a self-consistent treatment of thenext-to-leading order NLO and the next-to-next-to-leading order NNLOeffective action terms. Finite coupling effects lead to modifications of quarkmass, 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. NNLOcorrections does not significantly affect T {c,mu=0} and mu {c,T=0}, but thephase diagram shape including the position of the critical point is sensitiveto the NNLO effects. Partially chiral restored matter is found to exist in NLOand NNLO SC-LQCD.



Autor: Akira Ohnishi, Kohtaroh Miura, Takashi Z. Nakano, Noboru Kawamoto

Fuente: https://arxiv.org/



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