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Spinning AdS loop diagrams: two point functions

par Giombi, S.;Sleight, Charlotte ;Taronna, Massimo
Référence The Journal of high energy physics, 2018, 6, 30
Publication Publié, 2018-06

Article révisé par les pairs

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Résumé :

We develop a systematic approach to evaluating AdS loop amplitudes with spinning legs 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.