Functional renormalization group at finite density and Bose condensation
arXiv:1009.0430 · doi:10.1016/j.nuclphysa.2011.03.007
Abstract
We discuss the functional renormalization group and pion condensation in the presence of a finite isospin chemical potential . We calculate the phase diagram as function of temperature and . While the exact effective average action is invariant under certain gauge transformations, the effective action in the local-potential approximation is not. As a consequence, the critical chemical potential for Bose-Einstein condensation at T=0 is no longer equal to the mass of the condensing mode. We discuss possible solutions to this problem.
14 pages. 5 Figs. 2nd version matches published version. Fig.3 improved. Refs. added. Typos fixed
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