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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Abstract
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 |
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| 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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