Ghost poles in the nucleon propagator: Vertex corrections and form factors

Journal Article · Tue Jun 01 04:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.2485· OSTI ID:6583683

Krein, G ^[1]; Nielsen, M ^[2]; Puff, R D; Wilets, L ^[3]

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1. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona, 145-01405 Sao Paulo (Brazil)
2. Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal, 20516-01498 Sao Paulo (Brazil)
3. Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (United States)

Vertex corrections are taken into account in the Schwinger-Dyson equation for the nucleon propagator in a relativistic field theory of fermions and mesons. The usual Hartree-Fock approximation for the nucleon propagator is known to produce the appearance of complex (ghost) poles which violate basic theorems of quantum field theory. In a theory with vector mesons there are vertex corrections that produce a strongly damped vertex function in the ultraviolet. One set of such corrections is known as the Sudakov form factor in quantum electrodynamics. When the Sudakov form factor generated by massive neutral vector mesons is included in the Hartree-Fock approximation to the Schwinger-Dyson equation for the nucleon propagator, the ghost poles disappear and consistency with basic requirements of quantum field theory is recovered.

• OSTI ID: 6583683
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:6; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

662130* -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CALCULATION METHODS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FORM FACTORS
FUNCTIONS
HADRONS
HARTREE-FOCK METHOD
MATHEMATICAL MODELS
MATTER
NUCLEAR FORCES
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEONS
PARTICLE PROPERTIES
PROPAGATOR
QUANTUM FIELD THEORY
VERTEX FUNCTIONS
WALECKA MODEL