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QFT in AdS instead of LSZ

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arxiv 2210.15683 v2 pith:AJ5HI4CK submitted 2022-10-27 hep-th hep-ph

Balt C. van Rees , Xiang Zhao This is my paper · ORCID
classification hep-thhep-ph
keywords functionss-matrixalternativeassumptionsaxiomsbackgroundboundboundary
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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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Cited by 6 Pith papers

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