Sum Rules from an Extra Dimension
High Energy Physics - Theory
2011-02-03 v2 High Energy Physics - Lattice
Nuclear Theory
Abstract
Using the gravity side of the AdS/CFT correspondence, we investigate the analytic properties of thermal retarded Green's functions for scalars, conserved currents, the stress tensor, and massless fermions. We provide some results concerning their large and small frequency behavior and their pole structure. From these results, it is straightforward to prove the validity of various sum rules on the field theory side of the duality. We introduce a novel contraction mapping we use to study the large frequency behavior of the Green's functions.
Cite
@article{arxiv.1010.4806,
title = {Sum Rules from an Extra Dimension},
author = {Daniel R. Gulotta and Christopher P. Herzog and Matthias Kaminski},
journal= {arXiv preprint arXiv:1010.4806},
year = {2011}
}
Comments
v2: 23 pages (plus appendix), revised presentation, discussion of branch cuts moved to appendix, and some minor changes; v1: 24 pages (plus appendix)