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

1
Department of Physics, University of Basel, Klingelbergstrasse 82, Basel CH-4056, Switzerland
2
Paul Scherrer Institute, Villigen PSI CH-5232, Switzerland 
Symmetry 2014, 6(4), 1037-1057; https://doi.org/10.3390/sym6041037
Received: 1 October 2014 / Accepted: 4 December 2014 / Published: 15 December 2014
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PDF [340 KB, uploaded 15 December 2014]

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. View Full-Text
Keywords: model quantum field theories; canonical quantization of gauge theories; infrared divergences; gauge symmetries model quantum field theories; canonical quantization of gauge theories; infrared divergences; gauge symmetries
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Aste, A. Coulomb Solutions from Improper Pseudo-Unitary Free Gauge Field Operator Translations. Symmetry 2014, 6, 1037-1057.

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