Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
Abstract
We consider a version of the Gross-Neveu model in 1+1 dimensions with discrete chiral and continuous flavor symmetry (isospin). In 2+1 dimensions, this model is known as chiral Heisenberg Gross-Neveu model. Spontaneous symmetry breaking and the emergence of two massless and one massive scalar bosons are shown. A duality to the Nambu--Jona-Lasinio model with isospin is exhibited, provided that the isovector pseudoscalar mean field is constrained to a plane in isospin space. This enables us to find the phase diagram as a function of temperature, chemical potential and isospin chemical potential as well as twisted kinks. A bare mass term acts quite differently when added to this model as compared to other chiral variants of the Gross-Neveu model.
Keywords
Cite
@article{arxiv.2008.13119,
title = {Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions},
author = {Michael Thies},
journal= {arXiv preprint arXiv:2008.13119},
year = {2020}
}
Comments
11 pages, 2 figures