Coulomb solutions from improper pseudo-unitary free gauge field operator translations
arXiv:1407.1509 · doi:10.3390/sym6041037
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.
19 pages, two sections extended