A broad range of problems associated with phase transitions in systems characterized by
the strong interaction between particles and with formation of structures is reviewed. A …

In this paper, we will describe recent advances in analytical methods to construct exact
solutions of the Skyrme model (and its generalizations) representing inhomogeneous …

A bstract Chiral perturbation theory predicts the chiral anomaly to induce a so-called Chiral
Soliton Lattice at sufficiently large magnetic fields and baryon chemical potentials. This state …

A bstract It was previously shown within chiral perturbation theory that the ground state of
QCD in a sufficiently large magnetic field and at nonvanishing, but not too large, baryon …

A bstract It is show that one can derive a novel BPS bound for the gauged Non-Linear-
Sigma-Model (NLSM) Maxwell theory in (3+ 1) dimensions which can actually be saturated …

We elucidate magnetic effects in the skyrmion system to probe into the dense nuclear matter.
We find a deformed π 0 dipole structure of a baryon induced by a magnetic field. We then …

We extend the (gauged) Skyrme model to the case in which the global isospin group (which
usually is taken to be SU (N)) is a generic compact connected Lie group G. We analyze the …

A bstract We construct explicit analytic solutions of the SU (N)-Skyrme model (for generic N)
suitable to describe different phases of nuclear pasta at finite volume in (3+ 1) dimensions …

We construct topological soliton solutions describing baryonic tubes and layers with
modulation in the SU (2) non-linear sigma model coupled with ω-mesons in 3+ 1 …

The first analytic solutions representing baryonic layers living at finite baryon density within a
constant magnetic field in the gauged Skyrme model are constructed. A remarkable feature …