6533b82efe1ef96bd1293f09
RESEARCH PRODUCT
Infrared finite ghost propagator in the Feynman gauge
Joannis PapavassiliouArlene Cristina Aguilarsubject
PhysicsQuantum chromodynamicsNuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesPropagatorFísicaVertex (geometry)GluonMassless particleHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics::TheoryHigh Energy Physics - Phenomenology (hep-ph)Self-energyQuantum electrodynamicssymbolsCutoffFeynman diagramMathematical physicsdescription
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 non-perturbative gluon-ghost vertex, which, contrary to what happens in the Landau gauge, contributes non-trivially 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-12-05 |