Local/Short-range conformal field theories from long-range perturbation theory
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915052177588224 |
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| author | Rong, Junchen |
| author_facet | Rong, Junchen |
| contents | We show that by imposing the conformal Wald identity, one can extract conformal data of the corresponding short-range/local CFT from the long-range perturbation theory. We first apply this to the O(N) vector model. We demonstrate that by properly re-sum the perturbative series, one gets reasonable estimations of the critical exponents of the local/short-range CFTs. We then apply this method to study fermionic models with four-fermion interactions. In 2+1 dimensions, the model has the Gross-Neveu coupling and the Thirring coupling. We also consider a 4+1 dimensional theory with a generalized Thirring coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17958 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local/Short-range conformal field theories from long-range perturbation theory Rong, Junchen High Energy Physics - Theory Statistical Mechanics We show that by imposing the conformal Wald identity, one can extract conformal data of the corresponding short-range/local CFT from the long-range perturbation theory. We first apply this to the O(N) vector model. We demonstrate that by properly re-sum the perturbative series, one gets reasonable estimations of the critical exponents of the local/short-range CFTs. We then apply this method to study fermionic models with four-fermion interactions. In 2+1 dimensions, the model has the Gross-Neveu coupling and the Thirring coupling. We also consider a 4+1 dimensional theory with a generalized Thirring coupling. |
| title | Local/Short-range conformal field theories from long-range perturbation theory |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2406.17958 |