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arXiv:1502.07719 [math.PR]AbstractReferencesReviewsResources

Rigorous solution of strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit

Sourav Chatterjee

Published 2015-02-26Version 1

The main result of this paper is a rigorous computation of Wilson loop expectations in strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit, in any dimension. The formula appears as an absolutely convergent sum over trajectories in a kind of string theory on the lattice, demonstrating an explicit gauge-string duality. The generality of the proof technique may allow it to be extended other gauge groups.

Comments: 59 pages
Subjects: 70S15, 81T13, 81T25, 82B20
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