Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories

Abstract

Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing. The usual canonical algebra is turned into a topological algebra of non local operators that resembles the order-disorder dual algebra of 't Hooft. These dual operators provide a complete description of the physical phase space of the theories.

13 pages, LaTex (run twice)

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