Two-loop fermion self-energy and propagator in RQED$_{3,2}$

S. Teber (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Théorie [hep-th]

S. Teber. Two-loop fermion self-energy and propagator in RQED$_{3,2}$. 2014. ⟨hal-00950222⟩