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Large- N phase transition in a finite lattice gauge theory

Brahma, N and Krishnan, C (2021) Large- N phase transition in a finite lattice gauge theory. In: Physical Review D, 103 (12).

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Official URL: https://doi.org/10.1103/PhysRevD.103.126028


We consider gauge theories of non-Abelian finite groups, and discuss the 1+1 dimensional lattice gauge theory of the permutation group SN as an illustrative example. The partition function at finite N can be written explicitly in a compact form using properties of SN conjugacy classes. A natural large-N limit exists with a new 't Hooft coupling, λ=g2logN. We identify a Gross-Witten-Wadia-like phase transition at infinite N, at λ=2. It is first order. An analog of the string tension can be computed from the Wilson loop expectation value, and it jumps from zero to a finite value. We view this as a type of large-N (de)confinement transition. Our holographic motivations for considering such theories are briefly discussed. © 2021 authors. Published by the American Physical Society.

Item Type: Journal Article
Publication: Physical Review D
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 16 Sep 2021 09:13
Last Modified: 16 Sep 2021 09:13
URI: http://eprints.iisc.ac.in/id/eprint/69611

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