Wilson loops and random matrices
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Volume
2024
Publisher
DOI
10.1007/JHEP07(2024)203
Journal
Journal of High Energy Physics
Issue
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Linear confinement with Casimir scaling of the string tension in confining gauge theories is a consequence of a certain property of the Polyakov loop related to random matrices. This mechanism does not depend on the details of the theories (neither the gauge group nor dimensions) and explains approximate Casimir scaling below string-breaking length. In this paper, we study 3d SU(2) pure Yang-Mills theory numerically and find the same random-matrix behavior for rectangular Wilson loops. We conjecture that this is a universal feature of strongly coupled confining gauge theories.
Authors
Bergner, G; Gautam, V; Hanada, M; Holden, JCollections
- Mathematics [1686]