| Preprint | |
| Report number | arXiv:2512.18392 |
| Title | F-theorem for Quantum Field Theories in Anti-de Sitter Space |
| Author(s) | Bason, Davide (Tsinghua U., Beijing) ; Copetti, Christian (Oxford U., Inst. Math.) ; Di Pietro, Lorenzo (Trieste U. ; INFN, Trieste) ; Ji, Ziming (Northeastern U.) ; Komatsu, Shota (CERN) |
| Document contact | Contact: arXiv |
| Imprint | 2025-12-20 |
| Number of pages | 20 |
| Note | 10 pages + appendices, comments are welcome! |
| Subject category | hep-th ; Particle Physics - Theory |
| Abstract | 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. |
| Other source | Inspire |
| Copyright/License | preprint: (License: CC BY 4.0) |
Record created 2025-12-24, last modified 2025-12-26
