Loop Equations in Abelian Gauge Theories

Details Loop Equations in Abelian Gauge Theories Loop Equations in Abelian Gauge Theories

2005-02-25

arxiv.org/abs/hep-th/0502230v2

Mod.Phys.Lett.A20:2735-2743,2005

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, corrected typos

Scientific paper

10.1142/S0217732305018608

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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