Singularites in the LC-gauge Photon Propagator and Residual Gauge Transformation

Bruno Mutet (1) , Pierre Ca Grange (1) , E. Werner

1 LPTA - Laboratoire de Physique Théorique et Astroparticules

The photon propagator is built in the "usual" LC-gauges within the distributional approach with test functions for the gauge fields. It is shown that test functions provide a sound definition, as distributions, of singular terms in (1/n.k)p where n2=0. The relevance of these extensions is exemplified in a test case where an infinite re-summation in powers of 1/n.k leads to known exact results. The effect of residual gauge degrees of freedom on the presence of singular terms in the most general LC-propagator is discussed in the Dirac-Bergmann algorithm.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Bruno Mutet, Pierre Ca Grange, E. Werner. Singularites in the LC-gauge Photon Propagator and Residual Gauge Transformation. Light Cone 2008: Relativistic Nuclear and Particle Physics., Jul 2008, Mulhouse, France. ⟨hal-00288727⟩