Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
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.
Keywords
Cite
@article{arxiv.1512.03894,
title = {Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin},
author = {Michael Thies},
journal= {arXiv preprint arXiv:1512.03894},
year = {2016}
}
Comments
16 pages, no figure; v2: 2 figures, 2 references and short discussion added in sect. V, typos corrected, 17 pages