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

Anosova, Maria; Gattringer, Christof; Iqbal, Nabil; Sulejmanpasic, Tin

Abstract

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.

Citation

Anosova, M., Gattringer, C., Iqbal, N., & Sulejmanpasic, T. (2022, December). Numerical simulation of self-dual U(1) lattice field theory with electric and magnetic matter. Presented at Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)

• Presentation Conference Type: Conference Paper (published)
• Conference Name: Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
• Acceptance Date: May 16, 2022
• Online Publication Date: Jul 8, 2022
• Publication Date: 2022
• Deposit Date: Oct 28, 2022
• Publicly Available Date: Oct 28, 2022
• Publisher: Sissa Medialab
• DOI: https://doi.org/10.22323/1.396.0386
• Public URL: https://durham-repository.worktribe.com/output/1135411