Broken Symmetry and Fractionalized Flux Strings in a Staggered U(1) Pure Gauge Theory

• URL: http://arxiv.org/abs/2309.17109v1
• Date: Fri, 29 Sep 2023 10:08:21 GMT
• Title: Broken Symmetry and Fractionalized Flux Strings in a Staggered U(1) Pure Gauge Theory
• Authors: A. Banerjee, D. Banerjee, G. Kanwar, A. Mariani, T. Rindlisbacher, U.-J. Wiese
• Abstract summary: We study the case of $3D$ $mathrmU(1)$ pure gauge theory, simulating the staggered case numerically in its dual formulation. We find evidence of a continuum limit with a spontaneously broken $bbZ$ single-site symmetry, in contrast to the ordinary theory. Moreover, the confining string fractionalizes into multiple strands which separate spatial regions in distinct ground states of the broken symmetry.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Inspired by self-adjoint extensions of the electric field operator in the Hamiltonian formalism, we extend the Wilsonian framework of Abelian lattice gauge theory by introducing a modified action parameterized by an angle $\alpha$, where the ordinary Wilson theory corresponds to $\alpha=0$. Choosing instead $\alpha=\pi$ (the "staggered" case) gives the only other theory in the family which preserves all symmetries of the original model at the microscopic level. We study the case of $3D$ $\mathrm{U}(1)$ pure gauge theory, simulating the staggered case of this model numerically in its dual formulation. We find evidence of a continuum limit with a spontaneously broken $\mathbb{Z}_2$ single-site translational symmetry, in contrast to the ordinary theory. Moreover, the confining string fractionalizes into multiple strands which separate spatial regions in distinct ground states of the broken symmetry.

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