The Ising Model on $\mathbb S^2$
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914852602118144 |
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| author | Brower, Richard C. Owen, Evan K. |
| author_facet | Brower, Richard C. Owen, Evan K. |
| contents | We define a 2-dimensional Ising model on a triangulated sphere,
$\mathbb S^2$, designed to approach the exact conformal field theory (CFT)
in the continuum limit. Surprisingly, the derivation leads to a set
of geometric constraints that the lattice field theory must
satisfy. Monte Carlo simulations are in agreement with the exact
Ising CFT on $\mathbb S^2$. We discuss the inherent benefits of using
non-uniform simplicial lattices and how these methods may be
generalized for use with other quantum theories on curved manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Ising Model on $\mathbb S^2$ Brower, Richard C. Owen, Evan K. High Energy Physics - Lattice We define a 2-dimensional Ising model on a triangulated sphere, $\mathbb S^2$, designed to approach the exact conformal field theory (CFT) in the continuum limit. Surprisingly, the derivation leads to a set of geometric constraints that the lattice field theory must satisfy. Monte Carlo simulations are in agreement with the exact Ising CFT on $\mathbb S^2$. We discuss the inherent benefits of using non-uniform simplicial lattices and how these methods may be generalized for use with other quantum theories on curved manifolds. |
| title | The Ising Model on $\mathbb S^2$ |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2407.00459 |