Gauge Theory on a Quantum Phase Space

Details Gauge Theory on a Quantum Phase Space Gauge Theory on a Quantum Phase Space

2000-06-28

arxiv.org/abs/hep-th/0006219v2

Phys.Lett. B501 (2001) 319-325

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages, comments and refs. added

Scientific paper

10.1016/S0370-2693(01)00125-3

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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