Functional renormalization group at finite density and Bose condensation

Details Functional renormalization group at finite density and Bose condensation Functional renormalization group at finite density and Bose condensation

2010-09-02

arxiv.org/abs/1009.0430v2

Nucl.Phys.A857:16-28,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages. 5 Figs. 2nd version matches published version. Fig.3 improved. Refs. added. Typos fixed

Scientific paper

10.1016/j.nuclphysa.2011.03.007

We discuss the functional renormalization group and pion condensation in the presence of a finite isospin chemical potential $\mu_I$. We calculate the phase diagram as function of temperature $T$ and $\mu_I$. 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 $\mu_I^c$ 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.

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