Exact solution of N baryon problem in the Gross-Neveu model

Details Exact solution of N baryon problem in the Gross-Neveu model Exact solution of N baryon problem in the Gross-Neveu model

2010-10-26

arxiv.org/abs/1010.5322v2

Phys.Rev.D83:085001,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.83.085001

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.

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