Breathers and their interaction in the massless Gross-Neveu model
High Energy Physics - Theory
2015-06-11 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1210.4423,
title = {Breathers and their interaction in the massless Gross-Neveu model},
author = {Christian Fitzner and Michael Thies},
journal= {arXiv preprint arXiv:1210.4423},
year = {2015}
}
Comments
25 pages, 14 figures; v2: small corrections, matches published version