Exact solution of annbaryon problem in the Gross-Neveu model

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. DOI: http://dx.doi.org/10.1103/PhysRevD.83.085001 © 2011 American Physical Society