English

On the Analytic Structure of the Quark Self-Energy in Nambu-Jona- Lasinio Models

Nuclear Theory 2009-10-22 v1

Abstract

The self-energy of quarks is investigated for various models which are inspired by the Nambu--Jona-Lasinio (NJL) model. Including, beyond the Hartree-Fock approximation, terms up to second-order in the quark interaction, the real and imaginary parts of scalar and vector components of the self-energy are discussed. The second-order contributions depend on the energy and momentum of the quark under consideration. This leads to solutions of the Dirac equation which are significantly different from those of a free quark or a quark with constant effective mass, as obtained in the Hartree-Fock approximation.

Keywords

Cite

@article{arxiv.nucl-th/9308019,
  title  = {On the Analytic Structure of the Quark Self-Energy in Nambu-Jona- Lasinio Models},
  author = {P. P. Domitrovich and H. Müther},
  journal= {arXiv preprint arXiv:nucl-th/9308019},
  year   = {2009}
}

Comments

15 pages LaTeX, 6 figures can be obtained from authors