Gauge Theory on a Quantum Phase Space
High Energy Physics - Theory
2009-10-31 v2
Abstract
In this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield.
Cite
@article{arxiv.hep-th/0006219,
title = {Gauge Theory on a Quantum Phase Space},
author = {Luis Alvarez-Gaume and Spenta R. Wadia},
journal= {arXiv preprint arXiv:hep-th/0006219},
year = {2009}
}
Comments
Latex, 13 pages, comments and refs. added