Broken Symmetry and Fractionalized Flux Strings in a Staggered U(1) Pure Gauge Theory
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915253544026112 |
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| author | Banerjee, A. Banerjee, D. Kanwar, G. Mariani, A. Rindlisbacher, T. Wiese, U. -J. |
| author_facet | Banerjee, A. Banerjee, D. Kanwar, G. Mariani, A. Rindlisbacher, T. Wiese, U. -J. |
| contents | 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 $α$, where the ordinary Wilson theory corresponds to $α=0$. Choosing instead $α=π$ (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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_17109 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Broken Symmetry and Fractionalized Flux Strings in a Staggered U(1) Pure Gauge Theory Banerjee, A. Banerjee, D. Kanwar, G. Mariani, A. Rindlisbacher, T. Wiese, U. -J. High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics 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 $α$, where the ordinary Wilson theory corresponds to $α=0$. Choosing instead $α=π$ (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. |
| title | Broken Symmetry and Fractionalized Flux Strings in a Staggered U(1) Pure Gauge Theory |
| topic | High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2309.17109 |