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arXiv · 1708.08404

Spinning AdS Loop Diagrams: Two Point Functions

Simone Giombi·Charlotte Sleight·Massimo Taronna
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Abstract

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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Simone Giombi, Charlotte Sleight, Massimo Taronna. 2017-08-28. Spinning AdS Loop Diagrams: Two Point Functions. https://doi.org/10.1007/jhep06(2018)030

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