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Rigorous Solution of Strongly Coupled SO(N) Lattice Gauge Theory in the Large N Limit

  • Sourav ChatterjeeEmail author
Article

Abstract

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.

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Notes

Acknowledgements

I thank Amir Dembo, Persi Diaconis, Bruce Driver, Len Gross, Alice Guionnet, Jafar Jafarov, Todd Kemp, Herbert Neuberger, Steve Shenker, Lior Silberman, Tom Spencer, and Akshay Venkatesh for many helpful discussions and comments. I am grateful to the referee for a number of useful suggestions, and to H.-T. Yau for his enthusiasm about getting this paper published in CMP.

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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of StatisticsStanford UniversityStanfordUSA

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