Irrelevant deformations and the holographic Callan-Symanzik equation
High Energy Physics - Theory
2015-05-28 v1
Abstract
We discuss the systematics of obtaining the Callan-Symanzik equation within the framework of the gauge/gravity dualities. We present a completely general formula which in particular takes into account the new holographic renormalization results of arXiv:1102.2239. Non-trivial beta functions are obtained from new logarithmic terms in the radial expansion of the fields. The appearance of multi-trace counterterms is also discussed in detail and we show that mixing between single- and multi-trace operators leads to very specific non-linearities in the Callan-Symanzik equation. Additionally, we compute the conformal anomaly for a scalar three-point function in a CFT.
Keywords
Cite
@article{arxiv.1105.5396,
title = {Irrelevant deformations and the holographic Callan-Symanzik equation},
author = {Balt C. van Rees},
journal= {arXiv preprint arXiv:1105.5396},
year = {2015}
}
Comments
40 pages