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arXiv · 1610.03821

Wilson loop expectations in $SU(N)$ lattice gauge theory

Jafar Jafarov
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Abstract

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely convergent sums over trajectories in a string theory on the lattice, establishing a kind of gauge-string duality. Moreover, it is shown that in large $N$ limit, calculations in $SU(N)$ lattice gauge theory with coupling strength $2β$ corresponds to those in $SO(N)$ lattice gauge theory with coupling strength $β$ when $|β|$ is sufficiently small.

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Jafar Jafarov. 2016-10-12. Wilson loop expectations in $SU(N)$ lattice gauge theory. https://arxiv.org/abs/1610.03821

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