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Ising model as a U(1) lattice gauge theory with a θ -term

Sulejmanpasic, Tin

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Abstract

We discuss a gauged XY model a θ -term on an arbitrary lattice in 1 + 1 dimensions and show that the theory reduces exactly to the 2d Ising model on the dual lattice in the limit of the strong gauge coupling, provided that the topological term is defined via the Villain action. We discuss the phase diagram by comparing the strong and weak gauge coupling limits and perform Monte Carlo simulations at intermediate couplings. We generalize the duality to higher-dimensional Ising models using higher-form U(1) gauge field analogs.

Citation

Sulejmanpasic, T. (2021). Ising model as a U(1) lattice gauge theory with a θ -term. Physical Review D, 103(3), Article 034512. https://doi.org/10.1103/physrevd.103.034512

Journal Article Type Article
Acceptance Date Jan 25, 2021
Online Publication Date Feb 25, 2021
Publication Date Feb 1, 2021
Deposit Date Sep 21, 2021
Publicly Available Date Sep 21, 2021
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 103
Issue 3
Article Number 034512
DOI https://doi.org/10.1103/physrevd.103.034512
Public URL https://durham-repository.worktribe.com/output/1234049

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Advance online version Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP






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