Bulk and shear spectral functions in weakly and strongly coupled Yang-Mills theory

Abstract

In this talk, we discuss a number of recent calculations aimed at determining the spectral functions corresponding to various components of the energy momentum tensor in high-temperature SU(N) Yang-Mills theory. The computations reviewed include applications of both weak coupling and gauge/gravity techniques, and thus enable one to access different limits of the quantities. The motivation for the work is twofold: On one hand, the results are hoped to aid the eventual nonperturbative extraction of the bulk and shear viscosities from lattice data, while on the other hand they also enable an immediate comparison of the lattice, perturbative and holographic predictions for certain Euclidean correlators.

8 pages, 5 figures. To appear in the proceedings of the workshop 'Xth Quark Confinement and the Hadron Spectrum', TUM Campus Garching, Munich, October 8-12, 2012

References in corpus (8)

• A calculation of the bulk viscosity in SU(3) gluodynamics
• The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
• Spectral sum rules for the quark-gluon plasma
• Correlation functions of the energy-momentum tensor in SU(2) gauge theory at finite temperature
• Ultraviolet asymptotics of scalar and pseudoscalar correlators in hot Yang-Mills theory
• Bulk spectral functions in single and multi-scalar gravity duals
• A shear spectral sum rule in a non-conformal gravity dual
• Spatial scalar correlator in strongly coupled hot N=4 Yang-Mills theory