Random Bond perturbations of the $O(2)$ vector model
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913349000757248 |
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| author | Nocchi, Maria |
| author_facet | Nocchi, Maria |
| contents | We investigate the impact of quenched disorder in the critical $O(2)$ vector model. We first review, in the modern language of Conformal Perturbation Theory, the random temperature perturbation in $4-ε$. Then, we present a direct computation in $3d$. The pure CFT is now strongly interacting, and its CFT data are determined in recent numerical bootstrap studies. We then explore the anisotropic disorder associated with the lowest-dimension charge-$2$ scalar, which is relevant in $3d$. This perturbation breaks locally $O(2)$. However, the symmetry is restored in the IR in a weakly coupled new fixed point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08072 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random Bond perturbations of the $O(2)$ vector model Nocchi, Maria High Energy Physics - Theory Statistical Mechanics We investigate the impact of quenched disorder in the critical $O(2)$ vector model. We first review, in the modern language of Conformal Perturbation Theory, the random temperature perturbation in $4-ε$. Then, we present a direct computation in $3d$. The pure CFT is now strongly interacting, and its CFT data are determined in recent numerical bootstrap studies. We then explore the anisotropic disorder associated with the lowest-dimension charge-$2$ scalar, which is relevant in $3d$. This perturbation breaks locally $O(2)$. However, the symmetry is restored in the IR in a weakly coupled new fixed point. |
| title | Random Bond perturbations of the $O(2)$ vector model |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2405.08072 |