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Functional renormalization group at finite density and Bose condensation

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arxiv 1009.0430 v2 pith:SJIXPL7I submitted 2010-09-02 hep-ph

Eirik E. Svanes , Jens O. Andersen This is my paper · ORCID
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keywords condensationactionchemicaldiscusseffectivefinitefunctionalgroup
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abstract

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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  1. Renormalization group invariant mean-field model for QCD at finite isospin density

    hep-ph 2025-02 conditional novelty 6.0 of 10

    A renormalization-group invariant mean-field quark-meson model with one fitted scale reproduces lattice QCD thermodynamics at finite isospin density and predicts a multicritical chiral/pion-condensation point in the c...

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