Bulk spectral function sum rule in QCD-like theories with a holographic dual
High Energy Physics - Phenomenology
2015-05-27 v1 High Energy Physics - Theory
Nuclear Theory
Abstract
We derive the sum rule for the spectral function of the stress-energy tensor in the bulk (uniform dilatation) channel in a general class of strongly coupled field theories. This class includes theories holographically dual to a theory of gravity coupled to a single scalar field, representing the operator of the scale anomaly. In the limit when the operator becomes marginal, the sum rule coincides with that in QCD. Using the holographic model, we verify explicitly the cancellation between large and small frequency contributions to the spectral integral required to satisfy the sum rule in such QCD-like theories.
Keywords
Cite
@article{arxiv.1103.0977,
title = {Bulk spectral function sum rule in QCD-like theories with a holographic dual},
author = {Paul M. Hohler and Mikhail A. Stephanov},
journal= {arXiv preprint arXiv:1103.0977},
year = {2015}
}
Comments
16 pages, 2 figures