The photon emissivity of the quark-gluon plasma (QGP) is an important
input to predict the photon yield in heavy-ion collisions,
particularly for transverse momenta in the range of 1 to 2 GeV.
Photon production in the QGP can be probed non-perturbatively in
lattice QCD via (Euclidean) time-dependent correlators. Analyzing the
spatially transverse channel, as well as the difference of the
transverse and longitudinal channels as a consistency check, we
determine the photon emissivity based on continuum-extrapolated
correlators in two-flavour QCD. Estimates of the lepton-pair
production rate can be derived by combining the two aforementioned
channels.