Self-consistent solution of the Schwinger-Dyson equations for the nucleon and meson propagators

Journal Article · Tue Mar 01 04:00:00 EST 1994 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.49.1299· OSTI ID:142657

Bracco, M E; Eiras, A; Krein, G ^[1]; Wilets, L ^[2]

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1. Instituto de Fisica Teorica-Universidade Estadual Paulista, Rua Pamplona, 145-01405-900 Sao Paulo, Sao Paulo (Brazil)
2. Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (United States)

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.

• OSTI ID: 142657
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 3 Vol. 49; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
HARTREE-FOCK METHOD
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEAR FORCES
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
PROPAGATOR
SCHWINGER FUNCTIONAL EQUATIONS