Abstract
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.
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ArXiv ePrint: 1708.08404
Postdoctoral Researcher of the Fund for Scientific Research-FNRS Belgium. (Massimo Taronna)
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Giombi, S., Sleight, C. & Taronna, M. Spinning AdS loop diagrams: two point functions. J. High Energ. Phys. 2018, 30 (2018). https://doi.org/10.1007/JHEP06(2018)030
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DOI: https://doi.org/10.1007/JHEP06(2018)030