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

Sulejmanpasic, Tin

doi:10.1103/physrevd.103.034512

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

Sulejmanpasic, Tin

Authors

Dr Tin Sulejmanpasic tin.sulejmanpasic@durham.ac.uk
Associate Professor

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

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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