Loop Variable Inequalities in Gravity and Gauge Theory

Abstract

We point out an incompleteness of formulations of gravitational and gauge theories that use traces of holonomies around closed curves as their basic variables. It is shown that in general such loop variables have to satisfy certain inequalities if they are to give a description equivalent to the usual one in terms of local gauge potentials.

10pp., TeX, Syracuse SU-GP-93/3-2

References in corpus (1)

• Representations of the holonomy algebras of gravity and non-Abelian gauge theories

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