descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2015Embargo end date: 01 Jan 2014 English Publisher:Springer Science and Business Media LLCJournal:Journal of High Energy Physics, volume 2,015 (eissn: 1029-8479,

Authors: Gonçalves, Vasco; Penedones, João; Trevisani, Emilio;

doi: 10.1007/jhep10(2015)040 , 10.48550/arxiv.1410.4185

arXiv: http://arxiv.org/abs/1410.4185

Factorization of Mellin amplitudes

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Abstract

We introduce Mellin amplitudes for correlation functions of $k$ scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mellin amplitudes for scalar operators have simple poles with residues that factorize in terms of lower point Mellin amplitudes, similarly to what happens for scattering amplitudes in flat space. Finally, we study the flat space limit of Anti-de Sitter (AdS) space, in the context of the AdS/CFT correspondence, and generalize a formula relating CFT Mellin amplitudes to scattering amplitudes of the bulk theory, including particles with spin.

33+33 pages, 6 figures

Related Organizations

Universidade Lusófona do Porto
Portugal
Faculdade de ciencias da Universidade do Porto
Portugal

Keywords

High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), FOS: Physical sciences

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