Papers › Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals
Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals
Till Heckelbacher, Ivo Sachs, Evgeny Skvortsov, Pierre Vanhove
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We describe a systematic approach for the evaluation of Witten diagrams for multi-loop scattering amplitudes of a conformally coupled scalar ϕ⁴-theory in Euclidean AdS₄, by recasting the Witten diagrams as flat space Feynman integrals. We derive closed form expressions for the anomalous dimensions for all double-trace operators up to the second order in the coupling constant. We explain the relation between the flat space unitarity methods and the discontinuities of the short distance expansion on the boundary of Witten diagrams.
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