Holographic models and the QCD trace anomaly
Abstract
Five dimensional dilaton models are considered as possible holographic duals of the pure gauge QCD vacuum. In the framework of these models, the QCD trace anomaly equation is considered. Each quantity appearing in that equation is computed by holographic means. Two exact solutions for different dilaton potentials corresponding to perturbative and non-perturbative beta-functions are studied. It is shown that in the perturbative case, where the beta-function is the QCD one at leading order, the resulting space is not asymptotically AdS. In the non-perturbative case, the model considered presents confinement of static quarks and leads to a non-vanishing gluon condensate, although it does not correspond to an asymptotically free theory. In both cases analyses based on the trace anomaly and on Wilson loops are carried out.
Cite
@article{arxiv.1204.6327,
title = {Holographic models and the QCD trace anomaly},
author = {Jose L. Goity and Roberto C. Trinchero},
journal= {arXiv preprint arXiv:1204.6327},
year = {2015}
}
Comments
18 pages 1 figure In this revised version, the section on the analysis of the Wilson loop was improved, and a section was added on the matching of the calculations of the gluon condensate via the d+1 dim action and the Wilson loop