The boundary correlation functions for a quantum field theory (QFT) in a fixed anti–de Sitter (AdS) background should reduce to -matrix elements in the flat-space limit. We consider this procedure in detail for four-point functions. With minimal assumptions we rigorously show that the resulting -matrix element obeys a dispersion relation, the nonlinear unitarity conditions, and the Froissart-Martin bound. QFT in AdS thus provides an alternative route to fundamental QFT results that normally rely on the LSZ axioms.
{ "_oai": { "updated": "2023-05-13T00:30:29Z", "id": "oai:repo.scoap3.org:77598", "sets": [ "PRL" ] }, "authors": [ { "raw_name": "Balt C. van Rees", "affiliations": [ { "country": "France", "value": "CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France" } ], "surname": "van Rees", "given_names": "Balt C.", "full_name": "van Rees, Balt C." }, { "raw_name": "Xiang Zhao", "affiliations": [ { "country": "France", "value": "CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France" }, { "country": "Switzerland", "value": "Fields and String Laboratory, Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Rte de la Sorge, BSP 728, CH-1015 Lausanne, Switzerland" } ], "surname": "Zhao", "given_names": "Xiang", "full_name": "Zhao, Xiang" } ], "titles": [ { "source": "APS", "title": "Quantum Field Theory in AdS Space instead of Lehmann-Symanzik-Zimmerman Axioms" } ], "dois": [ { "value": "10.1103/PhysRevLett.130.191601" } ], "publication_info": [ { "journal_volume": "130", "journal_title": "Physical Review Letters", "material": "article", "journal_issue": "19", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-05-13T00:30:24.692506", "source": "APS", "method": "APS", "submission_number": "4b83419ef12511ed80743e7708eaa62a" }, "page_nr": [ 7 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "77598", "record_creation_date": "2023-05-12T14:30:04.753178", "_files": [ { "checksum": "md5:70f72fbe67810f081cf708ec88891dd5", "filetype": "pdf", "bucket": "2f55e6fa-e87d-4488-ad5b-ec2b875cbe5c", "version_id": "3ce35109-94a1-407d-9dbb-364c55f05bb3", "key": "10.1103/PhysRevLett.130.191601.pdf", "size": 217412 }, { "checksum": "md5:9b808b177c27ff458254263d6b5d9f10", "filetype": "xml", "bucket": "2f55e6fa-e87d-4488-ad5b-ec2b875cbe5c", "version_id": "e472637d-9432-4be6-8a73-afd4e73ebbf5", "key": "10.1103/PhysRevLett.130.191601.xml", "size": 150289 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "hep-ph" ], "value": "2210.15683" } ], "abstracts": [ { "source": "APS", "value": "The boundary correlation functions for a quantum field theory (QFT) in a fixed anti\u2013de Sitter (AdS) background should reduce to <math><mrow><mi>S</mi></mrow></math>-matrix elements in the flat-space limit. We consider this procedure in detail for four-point functions. With minimal assumptions we rigorously show that the resulting <math><mrow><mi>S</mi></mrow></math>-matrix element obeys a dispersion relation, the nonlinear unitarity conditions, and the Froissart-Martin bound. QFT in AdS thus provides an alternative route to fundamental QFT results that normally rely on the LSZ axioms." } ], "imprints": [ { "date": "2023-05-12", "publisher": "APS" } ] }