Bootstrapping Witten diagrams via differential representation in Mellin space

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Publication:6055766

DOI10.1007/JHEP07(2023)156arXiv2304.12757MaRDI QIDQ6055766

Author name not available (Why is that?)

Publication date: 29 September 2023

Published in: (Search for Journal in Brave)

Abstract: We explore the use of the differential representation of AdS amplitudes to compute Witten diagrams. The differential representation expresses AdS amplitudes in terms of conformal generators acting on contact Witten diagrams, which allows us to construct differential equations for Witten diagrams. These differential equations can then be transformed into difference equations in Mellin space, which can be solved recursively. Using this method, we efficiently re-computed scalar four-point amplitudes and obtained new results for scalar six-point amplitudes mediated by gluons and scalars, as well as two examples of scalar eight-point amplitudes from gluon exchange.


Full work available at URL: https://arxiv.org/abs/2304.12757



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