We give a pedagogical review of the properties of the various meson condensation phases
triggered by a large isospin or strangeness imbalance. We argue that these phases are …

We use the Polyakov-loop extended two-flavor quark-meson model as a low-energy
effective model for QCD to study the phase diagram in the μ I–T plane where μ I is the …

We study the two-flavor quark-meson (QM) model with the functional renormalization group
(FRG) to describe the effects of collective mesonic fluctuations on the phase diagram of QCD …

QCD at finite isospin chemical potential μ I possesses a positively definite fermion
determinant, and the lattice simulation can be successfully performed. While the two-flavor …

We construct analytic (3+ 1)-dimensional inhomogeneous and topologically nontrivial pion
systems using chiral perturbation theory. We discuss the effect of isospin asymmetry with …

We use the two-flavor Linear Sigma Model with quarks to study the phase structure of
isospin asymmetric matter at zero temperature. The meson degrees of freedom provide the …

In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation
theory at next-to-leading order in the pion-condensed phase at zero temperature. We show …

We review the BCS–BEC crossover in relativistic Fermi systems, including the QCD matter at
finite density. In the first part, we study the BCS–BEC crossover in a relativistic four-fermion …

We consider the thermodynamics of three-flavor QCD in the pion-condensed phase at
nonzero isospin chemical potential (μ I) and vanishing temperature using chiral perturbation …

We study the nature of the chiral symmetry restoration within the Yukawa model with
spontaneous symmetry breaking. We work with scalar and fermion fields which are subject …