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Phase structure of self-dual lattice gauge theories in 4d

Anosova, Mariia and Gattringer, Christof and Iqbal, Nabil and Sulejmanpasic, Tin (2022) 'Phase structure of self-dual lattice gauge theories in 4d.', Journal of High Energy Physics, 2022 (6). p. 149.


We discuss U(1) lattice gauge theory models based on a modified Villain formulation of the gauge action, which allows coupling to bosonic electric and magnetic matter. The formulation enjoys a duality which maps electric and magnetic sectors into each other. We propose several generalizations of the model and discuss their ’t Hooft anomalies. A particularly interesting class of theories is the one where electric and magnetic matter fields are coupled with identical actions, such that for a particular value of the gauge coupling the theory has a self-dual symmetry. The self-dual symmetry turns out to be a generator of a group which is a central extension of ℤ4 by the lattice translation symmetry group. The simplest case amenable to numerical simulations is the case when there is exactly one electrically and one magnetically charged boson. We discuss the phase structure of this theory and the nature of the self-dual symmetry in detail. Using a suitable worldline representation of the system we present the results of numerical simulations that support the conjectured phase diagram.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:15 May 2022
Date deposited:28 June 2022
Date of first online publication:27 June 2022
Date first made open access:28 June 2022

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