Two-loop fermion self-energy and propagator in reduced QED$_{3,2}$
  We compute the two-loop fermion self-energy in massless reduced quantum electrodynamics (RQED) for an arbitrary gauge in the case where the photon field is three-dimensional and the fermion field two-dimensional: super-renormalizable RQED$_{3,2}$ with $N_F$ fermions. We find that the theory is infrared finite at two-loop and that finite corrections to the fermion propagator have a remarkably simple form. 
S. Teber
hep-ph cond-mat.mes-hall hep-th