Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional renormalization group at finite density and Bose condensation   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.

28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math