Monopoles, confinement and the photon propagator in QED$_3$
  We study the lattice gauge boson propagator of 3D compact QED in Landau gauge at zero and non-zero temperature. Non-perturbative effects are reflected by the generation of a mass $m$, by an anomalous dimension $\alpha$ and by the photon wave function renormalisation $Z$. These effects can be attributed to monopoles: they are absent in the propagator of the regular part of the gauge field. The r\^ole of Gribov copies is carefully investigated. 
M. N. Chernodub, E.-M. Ilgenfritz and A. Schiller