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

Abstract: QCD at nonzero isospin chemical potentials has phenomenological relevance for a series of physical systems and provides an ideal testground for the modeling of dense strongly interacting matter. The two-flavor quark-meson model is known to effectively describe the condensation of charged pions in QCD that occurs in this setting. In this paper, we work out a renormalization-group invariant mean-field formulation of the model and demonstrate that the resulting phase diagram and equation of state is in quantitative agreement with data from lattice QCD simulations.