Spinning AdS Loop Diagrams: Two Point Functions
High Energy Physics - Theory
2018-08-03 v2
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.
Cite
@article{arxiv.1708.08404,
title = {Spinning AdS Loop Diagrams: Two Point Functions},
author = {Simone Giombi and Charlotte Sleight and Massimo Taronna},
journal= {arXiv preprint arXiv:1708.08404},
year = {2018}
}
Comments
54+23 pages, 15 figures. v2: Section 2.2 added with more details on the analytic evaluation of anomalous dimensions from bubble diagrams. References added, matches published version