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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.18392 |
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| _version_ | 1866911329210597376 |
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| author | Bason, Davide Copetti, Christian Di Pietro, Lorenzo Ji, Ziming Komatsu, Shota |
| author_facet | Bason, Davide Copetti, Christian Di Pietro, Lorenzo Ji, Ziming Komatsu, Shota |
| contents | We introduce a regularized free energy $\mathcal{F}_{\text{AdS}}$ for massive quantum field theories (QFTs) on Anti-de Sitter space (AdS). We conjecture this quantity to be monotonic under the renormalization group (RG) flow induced by boundary perturbations, generalizing the known boundary $F$-theorem to non-conformal setups. We test this conjecture in several examples and provide a proof in two dimensions. We also discuss applications to long-range critical points, obtaining bounds on the sphere free energy of long- and short-range Ising models in three dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | F-theorem for Quantum Field Theories in Anti-de Sitter Space Bason, Davide Copetti, Christian Di Pietro, Lorenzo Ji, Ziming Komatsu, Shota High Energy Physics - Theory We introduce a regularized free energy $\mathcal{F}_{\text{AdS}}$ for massive quantum field theories (QFTs) on Anti-de Sitter space (AdS). We conjecture this quantity to be monotonic under the renormalization group (RG) flow induced by boundary perturbations, generalizing the known boundary $F$-theorem to non-conformal setups. We test this conjecture in several examples and provide a proof in two dimensions. We also discuss applications to long-range critical points, obtaining bounds on the sphere free energy of long- and short-range Ising models in three dimensions. |
| title | F-theorem for Quantum Field Theories in Anti-de Sitter Space |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.18392 |