Bulk spectral functions in single and multi-scalar gravity duals
arXiv:1010.2760 · doi:10.1103/PhysRevD.82.126011
Abstract
We examine two point correlation functions involving the trace of the energy momentum tensor in five dimensional gravity dual theories supported by one or more scalar fields. A prescription for determining bulk channel spectral functions is developed. This prescription generalizes previous work which centered on one scalar field. As an application of these techniques, we investigate the bulk spectral function and corresponding sum rule in the Chamblin-Reall background. We show that, when expressed in terms of the beta function, the sum rule for the Chamblin-Reall background can be written in a form similar to the sum rule in Yang-Mills theory.
10 pages + appendices, 2 figures. v2: typos fixed and some text modified in Sec. V; conclusions unchanged. v3: Minor modifications, matches published version
References in corpus (16)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Viscosity, Black Holes, and Quantum Field Theory
- Exploring improved holographic theories for QCD: Part II
- Mimicking the QCD equation of state with a dual black hole
- Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
- Bulk viscosity of QCD matter near the critical temperature
- Universal hydrodynamics of non-conformal branes
- Spectral sum rules for the quark-gluon plasma
- Dynamical Soft-Wall AdS/QCD
- Thermal spectral functions of strongly coupled N=4 supersymmetric Yang-Mills theory
- Dynamical holographic QCD with area-law confinement and linear Regge trajectories
- An elementary stringy estimate of transport coefficients of large temperature QCD
- Quark Soup al dente: Applied Superstring Theory
- Sound Mode Hydrodynamics from Bulk Scalar Fields
- Second order hydrodynamics for a special class of gravity duals
- A shear spectral sum rule in a non-conformal gravity dual