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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.00502 |
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| _version_ | 1866929503060623360 |
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| author | Berkowitz, Evan Buesing, Seth Chen, Shi Cherman, Aleksey Sen, Srimoyee |
| author_facet | Berkowitz, Evan Buesing, Seth Chen, Shi Cherman, Aleksey Sen, Srimoyee |
| contents | The BKT transition in low-dimensional systems with a $U(1)$ global symmetry separates a gapless conformal phase from a trivially gapped, disordered phase, and is driven by vortex proliferation. Recent developments in modified Villain discretizations provide a class of lattice models which have a $\mathbb{Z}_W$ global symmetry that counts vortices mod W, mixed 't Hooft anomalies, and persistent order even at finite lattice spacing. While there is no fully-disordered phase (except in the original BKT limit $W=1$) there is still a phase boundary which separates gapped ordered phases from gapless phases. I'll describe a numerical Monte Carlo exploration of these phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00502 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized BKT Transitions and Persistent Order on the Lattice Berkowitz, Evan Buesing, Seth Chen, Shi Cherman, Aleksey Sen, Srimoyee High Energy Physics - Lattice The BKT transition in low-dimensional systems with a $U(1)$ global symmetry separates a gapless conformal phase from a trivially gapped, disordered phase, and is driven by vortex proliferation. Recent developments in modified Villain discretizations provide a class of lattice models which have a $\mathbb{Z}_W$ global symmetry that counts vortices mod W, mixed 't Hooft anomalies, and persistent order even at finite lattice spacing. While there is no fully-disordered phase (except in the original BKT limit $W=1$) there is still a phase boundary which separates gapped ordered phases from gapless phases. I'll describe a numerical Monte Carlo exploration of these phenomena. |
| title | Generalized BKT Transitions and Persistent Order on the Lattice |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2409.00502 |