Anomalous Dimensions from Thermal AdS Partition Functions
High Energy Physics - Theory
2020-12-02 v1
Abstract
We develop an efficient method for computing thermal partition functions of weakly coupled scalar fields in AdS. We consider quartic contact interactions and show how to evaluate the relevant two-loop vacuum diagrams without performing any explicit AdS integration, the key step being the use of Kallen-Lehmann type identities. This leads to a simple method for extracting double-trace anomalous dimensions in any spacetime dimension, recovering known first-order results in a streamlined fashion.
Cite
@article{arxiv.2004.08635,
title = {Anomalous Dimensions from Thermal AdS Partition Functions},
author = {Per Kraus and Stathis Megas and Allic Sivaramakrishnan},
journal= {arXiv preprint arXiv:2004.08635},
year = {2020}
}
Comments
35 pages