6533b7ddfe1ef96bd1273692

RESEARCH PRODUCT

Connection between the pinch technique and the background field method

Joannis Papavassiliou

subject

PhysicsWilson loop010308 nuclear & particles physicsBackground field methodHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesFísicaPropagator01 natural sciencesHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)Self-energyQuantum electrodynamics0103 physical sciencesPinchsymbolsFeynman diagram010306 general physicsS-matrixPhysical quantity

description

The connection between the pinch technique and the background field method is further explored. We show by explicit calculations that the application of the pinch technique in the framework of the background field method gives rise to exactly the same results as in the linear renormalizable gauges. The general method for extending the pinch technique to the case of Green's functions with off-shell fermions as incoming particles is presented. As an example, the one-loop gauge independent quark self-energy is constructed. We briefly discuss the possibility that the gluonic Green's functions, obtained by either method, correspond to physical quantities.

https://doi.org/10.1103/physrevd.51.856