Exact solution of N baryon problem in the Gross-Neveu model
High Energy Physics - Theory
2011-04-22 v2
Abstract
Recently it was shown that kink baryons and kink-antikink scattering in the massless Gross-Neveu model are closely related to one- and two-soliton solutions of the sinh-Gordon equation. Here we generalize these findings to the case of n kinks and antikinks. Using the known n soliton solution of the sinh-Gordon equation, we solve the general n kink-antikink scattering problem in the large N Gross-Neveu model analytically, mapping the time-dependent Hartree-Fock approach onto inverse scattering theory.
Keywords
Cite
@article{arxiv.1010.5322,
title = {Exact solution of N baryon problem in the Gross-Neveu model},
author = {Christian Fitzner and Michael Thies},
journal= {arXiv preprint arXiv:1010.5322},
year = {2011}
}
Comments
12 pages, 7 figures; v2: improved presentation, version accepted for publication