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

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.

13 pages, 12 figures; v2: minor corrections

References in corpus (5)

• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Nucleon distribution amplitudes from lattice QCD
• Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model
• Divergence of the axial current and fermion density in Gross-Neveu models

Cited by in corpus (9)

• Full time-dependent Hartree-Fock solution of large N Gross-Neveu models
• Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
• Exact solution of N baryon problem in the Gross-Neveu model
• Chiral spiral in the presence of chiral imbalance
• Baryon-baryon scattering in the Gross-Neveu model: the large N solution
• Dimensional reduction in quantum field theories at finite temperature and density
• Breathers and their interaction in the massless Gross-Neveu model
• Evidence for factorized scattering of composite states in the Gross-Neveu model
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation