Covariant boost and structure functions of baryons in Gross-Neveu models
High Energy Physics - Theory
2013-05-29 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
Baryons in the large N limit of two-dimensional Gross-Neveu models are reconsidered. The time-dependent Dirac-Hartree-Fock approach is used to boost a baryon to any inertial frame and shown to yield the covariant energy-momentum relation. Momentum distributions are computed exactly in arbitrary frames and used to interpolate between the rest frame and the infinite momentum frame, where they are related to structure functions. Effects from the Dirac sea depend sensitively on the occupation fraction of the valence level and the bare fermion mass and do not vanish at infinite momentum. In the case of the kink baryon, they even lead to divergent quark and antiquark structure functions at x=0.
Keywords
Cite
@article{arxiv.0910.5351,
title = {Covariant boost and structure functions of baryons in Gross-Neveu models},
author = {Wieland Brendel and Michael Thies},
journal= {arXiv preprint arXiv:0910.5351},
year = {2013}
}
Comments
13 pages, 12 figures; v2: minor corrections