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

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.085002· OSTI ID:21409629

Brendel, Wieland; Thies, Michael ^[1]

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1. Institut fuer Theoretische Physik III, Universitaet Erlangen-Nuernberg, D-91058 Erlangen (Germany)

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.

• OSTI ID: 21409629
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTIMATTER
ANTIPARTICLES
ANTIQUARKS
APPROXIMATIONS
BARYONS
CALCULATION METHODS
DISTRIBUTION
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
HARTREE-FOCK METHOD
LAGRANGIAN FIELD THEORY
MASS
MATTER
QUANTUM FIELD THEORY
QUARKS
STRUCTURE FUNCTIONS
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS