| Article | |
| Report number | arXiv:1912.11100 ; CERN-TH-2019-230 |
| Title | Nonperturbative Mellin Amplitudes: Existence, Properties, Applications |
| Author(s) | Penedones, Joao (EPFL, Lausanne, FSL) ; Silva, Joao A. (EPFL, Lausanne, FSL) ; Zhiboedov, Alexander (CERN) |
| Publication | 2020-08-06 |
| Imprint | 2019-12-23 |
| Number of pages | 119 |
| Note | The erroneous claims regarding the consistency of certain AdS EFTs are corrected |
| In: | JHEP 2008 (2020) 031 |
| DOI | 10.1007/JHEP08(2020)031 |
| Subject category | hep-th ; Particle Physics - Theory |
| Abstract | We argue that nonperturbative CFT correlation functions admit a Mellin amplitude representation. Perturbative Mellin representation readily follows. We discuss the main properties of nonperturbative CFT Mellin amplitudes: subtractions, analyticity, unitarity, Polyakov conditions and polynomial boundedness at infinity. Mellin amplitudes are particularly simple for large N CFTs and 2D rational CFTs. We discuss these examples to illustrate our general discussion. We consider subtracted dispersion relations for Mellin amplitudes and use them to derive bootstrap bounds on CFTs. We combine crossing, dispersion relations and Polyakov conditions to write down a set of extremal functionals that act on the OPE data. We check these functionals using the known 3d Ising model OPE data and other known bootstrap constraints. We then apply them to holographic theories. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2020-2024 The Authors (License: CC-BY-4.0), sponsored by SCOAP³ |
Corresponding record in: Inspire
Element opprettet 2020-01-24, sist endret 2023-10-04