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Functional renormalization group at finite density and Bose condensation
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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.
Forward citations
Cited by 2 Pith papers
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Renormalization group invariant mean-field model for QCD at finite isospin density
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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Condensation of lighter-than-physical pions in QCD
At half the physical light quark mass, the pion Bose-Einstein condensation boundary in QCD remains vertical and approaches zero chemical potential linearly as the pion mass decreases.
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