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

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

1993-08-25

arxiv.org/abs/nucl-th/9308019v1

J.Phys. G20 (1994) 1885-1900

Physics

Nuclear Physics

Nuclear Theory

15 pages LaTeX, 6 figures can be obtained from authors

Scientific paper

10.1088/0954-3899/20/12/005

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.

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