Breathers and their interaction in the massless Gross-Neveu model

Abstract

The breather is a vibrating multifermion bound state of the massless Gross-Neveu model, originally found by Dashen, Hasslacher and Neveu in the large N limit. We exhibit the salient features of this state and confirm that it solves the relativistic time-dependent Hartree-Fock equations. We then solve the scattering problem of two breathers with arbitrary internal parameters and velocities, generalizing an ansatz recently developed for the baryon-baryon scattering problem in the same model. The exact analytical solution is given and illustrated with a few examples.

25 pages, 14 figures; v2: small corrections, matches published version

References in corpus (6)

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• Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
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Cited by in corpus (6)

• 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
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing
• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Decay of solutions of nonlinear Dirac equations
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation