Two-flavor condensates in chiral dynamics: Temperature and isospin density effects

Abstract

Isospin density and thermal corrections for several condensates are discussed, at the one-loop level, in the frame of chiral dynamics with pionic degrees of freedom. The evolution of such objects gives an additional insight into the condensed-pion phase transition that occurs basically when $|{\ensuremath{\mu}}_{\mathrm{I}}|>{m}_{\ensuremath{\pi}}$, $|{\ensuremath{\mu}}_{\mathrm{I}}|$ being the isospin chemical potential. Calculations are done in both phases, showing a good agreement with lattice results for such condensates.