Sum Rules from an Extra Dimension

Details Sum Rules from an Extra Dimension Sum Rules from an Extra Dimension

2010-10-22

arxiv.org/abs/1010.4806v2

JHEP 1101:148,2011

Physics

High Energy Physics

High Energy Physics - Theory

v2: 23 pages (plus appendix), revised presentation, discussion of branch cuts moved to appendix, and some minor changes; v1: 2

Scientific paper

10.1007/JHEP01(2011)148

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.

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