We review theoretical approaches to explore the phase diagram of nuclear and quark matter
at high baryon density. We first look over the basic properties of quantum chromodynamics …

The theory of the strong interaction, quantum chromodynamics (QCD), describes the
generation of hadronic masses and the state of hadronic matter during the early stages of …

Recent advances in our understanding of the phase structure and the phase transitions of
hadronic matter in strong magnetic fields B and zero quark chemical potentials μ f are …

We study the two-flavor Nambu–Jona-Lasinio model with the Polyakov loop in the presence
of a strong magnetic field and a chiral chemical potential μ 5, which mimics the effect of …

We perform a model study of deconfinement and chiral symmetry restoration in a strong
magnetic background. We use a Nambu–Jona-Lasinio model with the Polyakov loop, taking …

The Polyakov-quark-meson model, which combines chiral as well as deconfinement aspects
of strongly interacting matter, is introduced for three light quark flavors. An analysis of the …

The purpose of this paper is to review the recent progress in understanding quark
confinement. The emphasis of this review is placed on how to obtain a manifestly gauge …

We consider the thermodynamics of chiral models in the mean-field approximation and
discuss the relevance of the (frequently omitted) fermion vacuum loop. Within the chiral …

We evaluate the dressed Polyakov loop for hot quark matter in strong magnetic field. To
compute the finite temperature effective potential, we use the Polyakov extended Nambu …

A chiral model is introduced that is based on the parity doublet formulation of chiral
symmetry including hyperonic degrees of freedom. The phase structure of the model is …