Coulomb Solutions from Improper Pseudo-Unitary Free Gauge Field Operator Translations

Abstract

Fundamental problems of quantum field theory related to the representation problem of canonical commutation relations are discussed within a gauge field version of a van Hove-type model. The Coulomb field generated by a static charge distribution is described as a formal superposition of time-like pseudo-photons in Fock space with a Krein structure. In this context, a generalization of operator gauge transformations is introduced to generate coherent states of Abelian gauge fields interacting with a charged background.

Keywords

• model quantum field theories
• canonical quantization of gauge theories
• infrared divergences
• gauge symmetries