Energy-momentum tensor correlators and spectral functions

Abstract

We calculate the thermal Euclidean correlators and the spectral functions of the energy-momentum tensor for pure gauge theories, including at non-zero spatial momentum, at leading order in perturbation theory. Our goal is to improve the extraction of transport properties from Euclidean correlators that are computable in lattice QCD. Based on our results and the predictions of hydrodynamics for the structure of the spectral functions at low frequencies, we show that the shear and bulk viscosities can advantageously be extracted from the Euclidean correlators of the conserved charges, energy and momentum, at small but non-vanishing spatial momentum. The spectral functions in these channels are free of the ultraviolet ${\omega }^4$ term which represents a large background to the thermal physics encoded in the correlators of the fluxes.

14 pages, 1 figure

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• The second order hydrodynamic transport coefficient $\kappa$ for the gluon plasma from the lattice
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• Frequency and wave number dependence of the shear correlator in strongly coupled hot Yang-Mills theory
• Study of shear viscosity of SU (2)-gluodynamics within lattice simulation
• Viscosity spectral functions of the dilute Fermi gas in kinetic theory
• Thermal CFTs in momentum space
• Consistency of field-theoretical and kinetic calculations of viscous transport coefficients for a relativistic fluid
• OPE of the energy-momentum tensor correlator in massless QCD
• Cutoff Effects on Energy-Momentum Tensor Correlators in Lattice Gauge Theory
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• Electromagnetic signal of the QCD phase transition in neutron star mergers
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• OPE of the energy-momentum tensor correlator and the gluon condensate operator in massless QCD to three-loop order
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• Shear and bulk viscosity for a pure glue theory using an effective matrix model
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