Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin

TL;DR

This paper analytically investigates twisted kink solutions in the two-dimensional chiral Gross-Neveu model with isospin, exploring phase structure, inhomogeneous condensates, and kink scattering in the large Nc limit.

Contribution

It constructs and analyzes twisted kink solutions connecting points on the vacuum manifold in the chiral Gross-Neveu model with isospin, including phase diagram and scattering properties.

Findings

Identified inhomogeneous condensate structures like kink crystals and chiral spirals.

Mapped the phase diagram with temperature, baryon, and isospin chemical potentials.

Solved kink-kink scattering using multicomponent Bogoliubov-de Gennes equations.

Abstract

The two-dimensional, massless Gross-Neveu model with Nc colors and SU(2) isospin is studied analytically in the large Nc limit. The chiral SU(2)L X SU(2)R symmetry is broken spontaneously in the vacuum. Twisted kinks connecting two arbitrary points on the vacuum manifold S3 are constructed, and their properties are explored. The phase diagram as a function of temperature, baryon- and isospin chemical potential is discussed, with special emphasis on inhomogeneous phases. The preferred form of the condensate is a product of the real kink crystal and the chiral spiral. Kink-kink scattering is solved, using the general solution of the multicomponent Bogoliubov-de Gennes equation recently presented by Takahashi.