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arXiv · 1010.5322

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

Christian Fitzner·Michael Thies
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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.

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Christian Fitzner, Michael Thies. 2010-10-26. Exact solution of N baryon problem in the Gross-Neveu model. https://doi.org/10.1103/physrevd.83.085001

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