Covariant boost and structure functions of baryons in Gross-Neveu models

Details Covariant boost and structure functions of baryons in Gross-Neveu models Covariant boost and structure functions of baryons in Gross-Neveu models

2009-10-28

arxiv.org/abs/0910.5351v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 12 figures; v2: minor corrections

Scientific paper

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.

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