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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2504.09032 |
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| _version_ | 1866912946601328640 |
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| author | Park, Chanyong |
| author_facet | Park, Chanyong |
| contents | We investigate the emergence of locality in infrared (IR) physics, which indicates an asymmetric renormalization group (RG) flow from a $d$-dimensional ultraviolet (UV) conformal field theory (CFT) to a lower-dimensional IR effective theory. In the holographic setup, this phenomenon can be described by a $(d+1)$-dimensional AdS charged black hole. At zero temperature, in particular, it has a $(d+1)$-dimensional anti-de Sitter (AdS) in the asymptotic region and AdS$_2 \times R^{d-1}$ near the horizon, whose dual field theory is mapped to IR quantum field theory (QFT) defined in $R_t \times R^{d-1}$. We show that the IR QFT can be reduced to effective conformal quantum mechanics due to the rapid suppression of the correlation in $R^{d-1}$. In this case, the IR conformal dimension of an operator crucially relies on the details of the UV theory. We further investigate another asymmetric RG flow from a four-dimensional UV CFT to a two-dimensional IR CFT by turning on an external magnetic field, which leads to localization in the directions perpendicular to the magnetic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09032 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymmetric RG flow to lower-dimensional effective theories Park, Chanyong High Energy Physics - Theory We investigate the emergence of locality in infrared (IR) physics, which indicates an asymmetric renormalization group (RG) flow from a $d$-dimensional ultraviolet (UV) conformal field theory (CFT) to a lower-dimensional IR effective theory. In the holographic setup, this phenomenon can be described by a $(d+1)$-dimensional AdS charged black hole. At zero temperature, in particular, it has a $(d+1)$-dimensional anti-de Sitter (AdS) in the asymptotic region and AdS$_2 \times R^{d-1}$ near the horizon, whose dual field theory is mapped to IR quantum field theory (QFT) defined in $R_t \times R^{d-1}$. We show that the IR QFT can be reduced to effective conformal quantum mechanics due to the rapid suppression of the correlation in $R^{d-1}$. In this case, the IR conformal dimension of an operator crucially relies on the details of the UV theory. We further investigate another asymmetric RG flow from a four-dimensional UV CFT to a two-dimensional IR CFT by turning on an external magnetic field, which leads to localization in the directions perpendicular to the magnetic field. |
| title | Asymmetric RG flow to lower-dimensional effective theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.09032 |