How to go with an RG Flow
High Energy Physics - Theory
2009-11-07 v2
Abstract
We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully compute one- and two-point functions of the energy-momentum tensor and the scalar operator mixing with it in two specific holographic flows, resolving previous difficulties with these correlation functions. As expected, two-point functions have a 0-mass dilaton pole for the Coulomb branch flow in which conformal symmetry is broken spontaneously but not for the flow dual to a mass deformation in which it is broken explicitly. A previous puzzle of the energy scale in the Coulomb branch flow is explained.
Cite
@article{arxiv.hep-th/0105276,
title = {How to go with an RG Flow},
author = {Massimo Bianchi and Daniel Z. Freedman and Kostas Skenderis},
journal= {arXiv preprint arXiv:hep-th/0105276},
year = {2009}
}
Comments
34 pages, v2: typos corrected, one reference added