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arxiv: 1708.08404 · v2 · pith:AWHDYA4Bnew · submitted 2017-08-28 · ✦ hep-th

Spinning AdS Loop Diagrams: Two Point Functions

Simone Giombi , Charlotte Sleight , Massimo Taronna This is my paper
classification ✦ hep-th
keywords diagramsloophigher-spinspectralamplitudesanomalousapplicationapproach
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We develop a systematic approach to evaluating AdS loop amplitudes based on the spectral (or "split") representation of bulk-to-bulk propagators, which re-expresses loop diagrams in terms of spectral integrals and higher-point tree diagrams. In this work we focus on 2pt one-loop Witten diagrams involving totally symmetric fields of arbitrary mass and integer spin. As an application of this framework, we study the contribution to the anomalous dimension of higher-spin currents generated by bubble diagrams in higher-spin gauge theories on AdS.

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