The momentum analyticity of two-point correlators from perturbation theory and AdS/CFT

Abstract

The momentum plane analyticity of two point function of a relativistic thermal field theory at zero chemical potential is explored. A general principle regarding the location of the singularities is extracted. In the case of the N=4 supersymmetric Yang-Mills theory at large $N_c$, a qualitative change in the nature of the singularity (branch points versus simple poles) from the weak coupling regime to the strong coupling regime is observed with the aid of the AdS/CFT correspondence.

18 pages, 3 figures, typos fixed, 1 figure updated

References in corpus (6)

• QCD and a Holographic Model of Hadrons
• Quasinormal modes and holography
• Viscosity, Black Holes, and Quantum Field Theory
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• Quark Potential in a Quark-Meson Plasma
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Cited by in corpus (5)

• Holographic Charge Oscillations
• Momentum Analyticity of Transverse Polarization Tensor in the Normal Phase of a Holographic Superconductor
• Wake Potential in Strong Coupling Plasma from AdS/CFT Correspondence
• Holographic Magnetic Susceptibility
• Momentum analyticity of the holographic electric polarizability in 2+1 dimensions