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QFT in AdS instead of LSZ

High Energy Physics - Theory 2023-05-03 v2 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.2210.15683,
  title  = {QFT in AdS instead of LSZ},
  author = {Balt C. van Rees and Xiang Zhao},
  journal= {arXiv preprint arXiv:2210.15683},
  year   = {2023}
}

Comments

8 pages, 1 figure