Quantum Field Theory in AdS Space instead of Lehmann-Symanzik-Zimmerman Axioms - Archive ouverte HAL
Article Dans Une Revue Physical Review Letters Année : 2023

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

Résumé

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.

Dates et versions

hal-04098481 , version 1 (16-05-2023)

Identifiants

Citer

Balt C van Rees, Xiang Zhao. Quantum Field Theory in AdS Space instead of Lehmann-Symanzik-Zimmerman Axioms. Physical Review Letters, 2023, 130 (19), pp.191601. ⟨10.1103/PhysRevLett.130.191601⟩. ⟨hal-04098481⟩
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