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arXiv · hep-th/0006219

Gauge Theory on a Quantum Phase Space

Luis Alvarez-Gaume·Spenta R. Wadia
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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.

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Luis Alvarez-Gaume, Spenta R. Wadia. 2000-08-14. Gauge Theory on a Quantum Phase Space. https://doi.org/10.1016/s0370-2693(01)00125-3

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