Phase structures of strong coupling lattice QCD with finite baryon and isospin density
Abstract
Quantum chromodynamics (QCD) at finite temperature (T), baryon chemical potential (\muB) and isospin chemical potential (\muI) is studied in the strong coupling limit on the lattice with staggered fermions. With the use of the large dimensional expansion and the mean field approximation, we derive an effective action written in terms of the chiral condensate and the pion condensate as a function of T, \muB and \muI. The phase structure in the space of T and \muB is elucidated, and simple analytical formulae for critical line of chiral phase transition and tricritical point are derived. Effects of finite quark mass (m) and finite \muI on the phase diagram are discussed. We also investigate the phase structure in the space of T, \muI and m, and clarify a correspondence between the color SU(3) QCD with finite isospin density and the color SU(2) QCD with finite baryon density. Comparisons of our results to those from recent Monte-Carlo lattice simulations in finite density QCD are given.Keywords
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