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 (4)

• Moduli Dynamics of AdS_3 Strings
• Divergence of the axial current and fermion density in Gross-Neveu models
• Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
• Covariant boost and structure functions of baryons in Gross-Neveu models

Cited by in corpus (14)

• Time-Dependent Hartree-Fock Solution of Gross-Neveu models: Twisted Kink Constituents of Baryons and Breathers
• Full time-dependent Hartree-Fock solution of large N Gross-Neveu models
• Transparent Dirac potentials in one dimension: the time-dependent case
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing
• Bogoliubov-de Gennes Soliton Dynamics in Unconventional Fermi Superfluids
• Baryon-baryon scattering in the Gross-Neveu model: the large N solution
• Exhaustive derivation of static self-consistent multi-soliton solutions in the matrix Bogoliubov-de Gennes systems
• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Breathers and their interaction in the massless Gross-Neveu model
• Evidence for factorized scattering of composite states in the Gross-Neveu model
• Twisted kink dynamics in multiflavor chiral Gross-Neveu model
• Dark solitons of the Gross-Neveu model
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
• SU(N) affine Toda solitons and breathers from transparent Dirac potentials