Thermodynamics of strong coupling 2-color QCD with chiral and diquark condensates

Abstract

2-color QCD (quantum chromodynamics with N_c=2) at finite temperature T and chemical potential μis revisited in the strong coupling limit on the lattice with staggered fermions. The phase structure in the space of T, μ, and the quark mass m is elucidated with the use of the mean field approximation and the 1/d expansion (d being the number of spatial dimensions). We put special emphasis on the interplay among the chiral condensate <\bar{q}q>, the diquark condensate <qq>, and the quark density <q^{\dagger}q> in the T-μ-m space. Simple analytic formulae are also derived without assuming μnor m being small. Qualitative comparisons are made between our results and those of recent Monte-Carlo simulations in 2-color QCD.