Two-flavor condensates in chiral dynamics: temperature and isospin   density effects
  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 give an additional insight into the condensed-pion phase transition, that occurs basically when $|\mui|>m_\pi$, being $|\mui|$ the isospin chemical potential. Calculations are done in both phases, showing a good agreement with lattice results for such condensates. 
M. Loewe, C. Villavicencio