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Numerical simulation of self-dual U(1) lattice field theory with electric and magnetic matter

Anosova, Maria and Gattringer, Christof and Iqbal, Nabil and Sulejmanpasic, Tin (2022) 'Numerical simulation of self-dual U(1) lattice field theory with electric and magnetic matter.', Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021).


We study a recently proposed formulation of U(1) lattice field theory with electric and magnetic matter based on the Villain formulation. This discretization allows for a duality that gives rise to relations between weak and strong gauge coupling. There exists a self-dual value of the gauge coupling where one may study the model as a function of the remaining matter coupling. Using Monte Carlo simulations based on a worldline/worldsheet representation of the system we evaluate order parameters for spontaneous breaking of self-duality. We find that in some interval of the matter coupling self-duality becomes broken spontaneously. We determine the endpoints of this interval and study the nature of the corresponding critical points. Finally we explore the system away from the self-dual gauge coupling and show that when crossing the self-dual point a first order jump is seen in the order parameters.

Item Type:Conference item (Paper)
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Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
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Publisher statement:Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Date accepted:16 May 2022
Date deposited:28 October 2022
Date of first online publication:08 July 2022
Date first made open access:28 October 2022

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