The ordinary surface universality class of the three-dimensional O($N$) model
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arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929739753586688 |
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| author | Toldin, Francesco Parisen |
| author_facet | Toldin, Francesco Parisen |
| contents | We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the leading bulk scaling correction is suppressed, and finite-size scaling analysis of the fourth cumulant of the surface magnetization, we obtain precise estimates of the scaling dimension of the surface field operator for $N=2,3,4$. We also determine the fixed-point values of two renormalization-group invariant observables, which characterize the finite-size scaling behavior at the ordinary transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The ordinary surface universality class of the three-dimensional O($N$) model Toldin, Francesco Parisen Statistical Mechanics High Energy Physics - Theory We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the leading bulk scaling correction is suppressed, and finite-size scaling analysis of the fourth cumulant of the surface magnetization, we obtain precise estimates of the scaling dimension of the surface field operator for $N=2,3,4$. We also determine the fixed-point values of two renormalization-group invariant observables, which characterize the finite-size scaling behavior at the ordinary transition. |
| title | The ordinary surface universality class of the three-dimensional O($N$) model |
| topic | Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2303.16683 |