Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1993-07-07
Phys.Rev.C49:1299-1308,1994
Physics
Nuclear Physics
Nuclear Theory
REVTEX, 7 figures (available upon request), IFT-P.037/93, DOE/ER/40427-12-N93
Scientific paper
10.1103/PhysRevC.49.1299
The Schwinger-Dyson equations for the nucleon and meson propagators are solved self-consistently in an approximation that goes beyond the Hartree-Fock approximation. The traditional approach consists in solving the nucleon Schwinger-Dyson equation with bare meson propagators and bare meson-nucleon vertices; the corrections to the meson propagators are calculated using the bare nucleon propagator and bare nucleon-meson vertices. It is known that such an approximation scheme produces the appearance of ghost poles in the propagators. In this paper the coupled system of Schwinger-Dyson equations for the nucleon and the meson propagators are solved self-consistently including vertex corrections. The interplay of self-consistency and vertex corrections on the ghosts problem is investigated. It is found that the self-consistency does not affect significantly the spectral properties of the propagators. In particular, it does not affect the appearance of the ghost poles in the propagators.
Bracco Mirian E.
Eiras A.
Krein Gastao
Wilets L.
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