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Broken Symmetry and Fractionalized Flux Strings in a Staggered U(1) Pure Gauge Theory
- Publication Year :
- 2023
-
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.<br />Comment: 18 pages, 10 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2309.17109
- Document Type :
- Working Paper