Gauge Theory on a Quantum Phase Space

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.

Latex, 13 pages, comments and refs. added

References in corpus (10)

• Noncommutative Perturbative Dynamics
• The String Dual of a Confining Four-Dimensional Gauge Theory
• Noncommutative Solitons
• Wilson Loops in Noncommutative Yang Mills
• Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory
• String Theory and the Space-Time Uncertainty Principle
• Finite N Matrix Models of Noncommutative Gauge Theory
• Noncommutative Tachyons
• Nonperturbative Dynamics of Noncommutative Gauge Theory
• Noncommutative Tachyons And String Field Theory

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