Spectral sum rules for the quark-gluon plasma

Abstract

We derive sum rules involving the spectral density of the stress-energy tensor in N=4 super-Yang-Mills theory and pure Yang-Mills theory. The sum rules come from the hydrodynamic behavior at small momenta and the conformal (in the case of N=4 SYM theory) or asymptotically free (as for the pure Yang-Mills theory) behavior at large momenta. These sum rules may help constrain QGP transport coefficients obtained from lattice QCD.

21 pages, 3 figures

References in corpus (11)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Viscosity, Black Holes, and Quantum Field Theory
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Bulk viscosity of QCD matter near the critical temperature
• Second order hydrodynamic coefficients from kinetic theory
• Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\mathbb{N}=4$ Yang Mills Theory
• Thermal spectral functions of strongly coupled N=4 supersymmetric Yang-Mills theory
• Energy-momentum tensor correlators and spectral functions
• Correlation functions of the energy-momentum tensor in SU(2) gauge theory at finite temperature

Cited by in corpus (1)

• R-charge thermodynamical spectral sum rule in N=4 Yang-Mills theory