Quantum Field Theory in AdS Space instead of Lehmann-Symanzik-Zimmerman Axioms

Balt C. van Rees (CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France) ; Xiang Zhao (CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France; Fields and String Laboratory, Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), Rte de la Sorge, BSP 728, CH-1015 Lausanne, Switzerland)

The boundary correlation functions for a quantum field theory (QFT) in a fixed anti–de Sitter (AdS) background should reduce to S-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 S-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.

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Published on:
12 May 2023
Publisher:
APS
Published in:
Physical Review Letters , Volume 130 (2023)
Issue 19
DOI:
https://doi.org/10.1103/PhysRevLett.130.191601
arXiv:
2210.15683
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: