English

BPS kinks in the Gross-Neveu model

High Energy Physics - Theory 2009-11-07 v1 Statistical Mechanics

Abstract

We find the exact spectrum and degeneracies for the Gross-Neveu model in two dimensions. This model describes N interacting Majorana fermions; it is asymptotically free, and has dynamical mass generation and spontaneous chiral symmetry breaking. We show here that the spectrum contains 2^{N/2} kinks for any NN. The unusual \sqrt{2} in the number of kinks for odd NN comes from restrictions on the allowed multi-kink states. These kinks are the BPS states for a generalized supersymmetry where the conserved current is of dimension N/2; the N=3 case is the {\cal N}=1 supersymmetric sine-Gordon model, for which the spectrum consists of 2\sqrt{2} kinks. We find the exact S matrix for these kinks, and the exact free energy for the model.

Cite

@article{arxiv.hep-th/0105148,
  title  = {BPS kinks in the Gross-Neveu model},
  author = {Paul Fendley and Hubert Saleur},
  journal= {arXiv preprint arXiv:hep-th/0105148},
  year   = {2009}
}

Comments

22 pages, 5 figures

R2 v1 2026-07-22T15:04:11.269Z