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QFT in AdS instead of LSZ

2022/10/27 by Balt C. van Rees, Xiang Zhao, van Rees, Balt C. +1 · 1 voice
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.2210.15683

openalex publication_date 2022/10/27 · arxiv published 2022/10/27 · arxiv updated 2023/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The boundary correlation functions for a QFT in a fixed 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 non-linear 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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