Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2011)148
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence; Nonperturbative Effects; Sum Rules
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Funding
- INFN
- US NSF [PHY-0844827, PHY-0756966]
- Sloan Foundation
- Erwin-Schrodinger-Institut (ESI) in Vienna
- DFG (Deutsche Forschungsgemeinschaft)
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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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