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

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Published Article
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DOI: 10.1142/S0217732396001132
arXiv ID: hep-th/9603006
Source
arXiv
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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.

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