Self-consistent solution of the Schwinger-Dyson equations for the nucleon and meson propagators
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1994-01-01
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Bracco, M. E. [UNESP]
Eiras, A. [UNESP]
Krein, G. [UNESP]
Wilets, L.
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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. © 1994 The American Physical Society.
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Physical Review C, v. 49, n. 3, p. 1299-1308, 1994.