Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915689036513280 |
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| author | Bulgarelli, Andrea Caselle, Michele Nada, Alessandro Panero, Marco |
| author_facet | Bulgarelli, Andrea Caselle, Michele Nada, Alessandro Panero, Marco |
| contents | $\mathrm{O}(N)$ vector models in three dimensions, when defined in a geometry with a compact direction and tuned to criticality, exhibit long-range fluctuations which induce a Casimir effect. The strength of the resulting interaction is encoded in the excess free-energy density, which depends on a universal coefficient: the Casimir amplitude. We present a high-precision numerical calculation of the latter, by means of a novel non-equilibrium Monte Carlo algorithm, and compare our findings with results obtained from large-$N$ expansions and from the conformal bootstrap. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations Bulgarelli, Andrea Caselle, Michele Nada, Alessandro Panero, Marco Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Theory $\mathrm{O}(N)$ vector models in three dimensions, when defined in a geometry with a compact direction and tuned to criticality, exhibit long-range fluctuations which induce a Casimir effect. The strength of the resulting interaction is encoded in the excess free-energy density, which depends on a universal coefficient: the Casimir amplitude. We present a high-precision numerical calculation of the latter, by means of a novel non-equilibrium Monte Carlo algorithm, and compare our findings with results obtained from large-$N$ expansions and from the conformal bootstrap. |
| title | Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations |
| topic | Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.20403 |