Holographic renormalization for irrelevant operators and multi-trace counterterms
High Energy Physics - Theory
2015-05-27 v1
Abstract
We investigate the structure of holographic renormalization in the presence of sources for irrelevant operators. By working perturbatively in the sources we avoid issues related to the non-renormalizability of the dual field theory. We find new classes of divergences which appear to be non-local on the gravity side. However in all cases a systematic renormalization procedure exists involving either standard local counterterms or new counterterms which may be interpreted as multi-trace counterterms in the field theory. The multi-trace counterterms reflect a more intricate relation between sources and the asymptotics of bulk fields.
Cite
@article{arxiv.1102.2239,
title = {Holographic renormalization for irrelevant operators and multi-trace counterterms},
author = {Balt C. van Rees},
journal= {arXiv preprint arXiv:1102.2239},
year = {2015}
}
Comments
42 pages