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arXiv · 1210.4423

Breathers and their interaction in the massless Gross-Neveu model

Christian Fitzner·Michael Thies
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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.

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Christian Fitzner, Michael Thies. 2012-10-16. Breathers and their interaction in the massless Gross-Neveu model. https://doi.org/10.1103/physrevd.87.025001

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