Mellin-(Schwinger) representation of One-loop Witten diagrams in AdS

Abstract

In this paper we consider Witten diagrams at one loop in AdS space for scalar ${\varphi }^3+{\varphi }^4$ theory. After using Schwinger parametrization to trivialize the space-time loop integration, we extract the Mellin-Barnes representation for the one-loop corrections to the four-particle scattering up to an integration over the Schwinger parameters corresponding to the propagators of the internal particles running into the loop. We then discuss an approach to deal with those integrals.

27 pages, 6 figures. References added, typos corrected

References in corpus (3)

• D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes
• High Energy Scattering in the AdS/CFT Correspondence
• Exploring Perturbative Conformal Field Theory in Mellin space

Cited by in corpus (2)

• Holographic dual of the five-point conformal block
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections