Infrared finite ghost propagator in the Feynman gauge

Journal Article · Sun Jun 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.125022· OSTI ID:21205219

Aguilar, A C; Papavassiliou, J ^[1]

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1. Departamento de Fisica Teorica and IFIC, Centro Mixto, Universidad de Valencia (Fundacion General) - CSIC, E-46100, Burjassot, Valencia (Spain)

We demonstrate how to obtain from the Schwinger-Dyson equations of QCD an infrared finite ghost propagator in the Feynman gauge. The key ingredient in this construction is the longitudinal form factor of the nonperturbative gluon-ghost vertex, which, contrary to what happens in the Landau gauge, contributes nontrivially to the gap equation of the ghost. The detailed study of the corresponding vertex equation reveals that in the presence of a dynamical infrared cutoff this form factor remains finite in the limit of vanishing ghost momentum. This, in turn, allows the ghost self-energy to reach a finite value in the infrared, without having to assume any additional properties for the gluon-ghost vertex, such as the presence of massless poles. The implications of this result and possible future directions are briefly outlined.

• OSTI ID: 21205219
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONSTRUCTION
EQUATIONS
FORM FACTORS
GLUONS
PROPAGATOR
QUANTUM CHROMODYNAMICS
SELF-ENERGY