Two-loop thermal spectral functions with general kinematics

Abstract

Spectral functions at finite temperature and two-loop order are investigated, for a medium consisting of massless particles. We consider them in the timelike and spacelike domains, allowing the propagating particles to be any valid combination of bosons and fermions. Divergences (if present) are analytically derived and set aside for the remaining finite part to be calculated numerically. To illustrate the utility of these 'master' functions, we consider transverse and longitudinal parts of the QCD vector channel spectral function.

62 pages, v2: minor fixes and clarifications

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• Dilepton production at next-to-leading order and intermediate invariant-mass observables
• Soft photon propagation in a hot and dense medium to next-to-leading order
• Lattice QCD estimates of thermal photon production from the QGP
• Efficient numerical integration of thermal interaction rates
• QED corrections to the thermal neutrino interaction rate
• Two-loop hard thermal loops for any model
• Energy and momentum dependence of the soft-axion interaction rate
• Photon emissivity of the quark-gluon plasma: a lattice QCD analysis of the transverse channel
• Dynamic Magnetic Response of Quark-Gluon Plasma to Electromagnetic Fields