January 2025 Correlation decay for finite lattice gauge theories at weak coupling
Arka Adhikari, Sky Cao
Author Affiliations +
Ann. Probab. 53(1): 140-174 (January 2025). DOI: 10.1214/24-AOP1702

Abstract

In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling, we prove exponential decay of correlations for a wide class of gauge invariant functions, which in particular includes arbitrary functions of Wilson loop observables.

Funding Statement

A.A. was supported by NSF award 2102842 for its support.

Acknowledgements

We thank Sourav Chatterjee for suggesting this problem, as well as for helpful conversations.

Citation

Download Citation

Arka Adhikari. Sky Cao. "Correlation decay for finite lattice gauge theories at weak coupling." Ann. Probab. 53 (1) 140 - 174, January 2025. https://doi.org/10.1214/24-AOP1702

Information

Received: 1 February 2023; Revised: 1 February 2024; Published: January 2025
First available in Project Euclid: 19 January 2025

Digital Object Identifier: 10.1214/24-AOP1702

Subjects:
Primary: 70S15 , 81T13 , 81T25 , 82B20

Keywords: decay of correlations , Lattice gauge theory , Wilson loop

Rights: Copyright © 2025 Institute of Mathematical Statistics

Vol.53 • No. 1 • January 2025
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