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Loop Equations in Abelian Gauge Theories

Cayetano Di Bartolo·Lorenzo Leal·Francisco Peña
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Abstract

The equations obeyed by the vacuum expectation value of the Wilson loop of Abelian gauge theories are considered from the point of view of the loop-space. An approximative scheme for studying these loop-equations for lattice Maxwell theory is presented. The approximation leads to a partial difference equation in the area and length variables of the loop, and certain physically motivated ansatz is seen to reproduce the mean field results from a geometrical perspective.

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Cayetano Di Bartolo, Lorenzo Leal, Francisco Peña. 2005-03-04. Loop Equations in Abelian Gauge Theories. https://doi.org/10.1142/s0217732305018608

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