The shear channel spectral function in hot Yang-Mills theory
Yan Zhu, Aleksi Vuorinen
TL;DR
This paper computes a next-to-leading order spectral function for the shear channel in hot Yang-Mills theory, aiding the nonperturbative determination of shear viscosity.
Contribution
It provides a novel NLO calculation of the shear channel spectral function in SU(N) Yang-Mills theory at zero momentum.
Findings
Derived the spectral function at NLO in the shear channel.
Applied the result to evaluate the imaginary time correlator.
Discussed implications for sum rules and shear viscosity.
Abstract
We determine a next-to-leading order result for the shear channel thermal spectral function in SU(N) Yang-Mills theory, working in the limit of vanishing external three-momentum. The result is subsequently applied to the evaluation of the corresponding imaginary time correlator, and its use in the context of sum rules is discussed. Our hope is that the calculation will eventually find use in the nonperturbative determination of the shear viscosity of the theory.
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