Exact solution of an n baryon problem in the Gross-Neveu model

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.085001· OSTI ID:21541521

Fitzner, Christian; Thies, Michael ^[1]

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1. Institut fuer Theoretische Physik III, Universitaet Erlangen-Nuernberg, D-91058 Erlangen (Germany)

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.

• OSTI ID: 21541521
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BARYONS
CALCULATION METHODS
ELEMENTARY PARTICLES
EXACT SOLUTIONS
FERMIONS
FIELD THEORIES
HADRONS
HARTREE-FOCK METHOD
INVERSE SCATTERING PROBLEM
LAGRANGIAN FIELD THEORY
MATHEMATICAL SOLUTIONS
N BARYONS
N*BARYONS
QUANTUM FIELD THEORY
SCATTERING
TIME DEPENDENCE