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
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
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