Exact solution of N baryon 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.

12 pages, 7 figures; v2: improved presentation, version accepted for publication

References in corpus (2)

• Moduli Dynamics of AdS_3 Strings
• Divergence of the axial current and fermion density in Gross-Neveu models