Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED

V.P. Gusynin , A.V. Kotikov , S. Teber (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

We study the gauge covariance of the massless fermion propagator in three-dimensional quenched quantum electrodynamics in the framework of dimensional regularization in d=3-2ϵ. Assuming the finiteness of the quenched perturbative expansion, that is the existence of the limit ϵ→0, we state that, exactly in d=3, all odd perturbative coefficients, starting with the third order one, should be zero in any gauge.

Mots clés: Formal aspects of field theory; field theory in curved space; dimension: 3; regularization: dimensional; fermion: propagator; fermion: massless; quenching; quantum electrodynamics

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

V.P. Gusynin, A.V. Kotikov, S. Teber. Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED. Physical Review D, 2020, 102 (2), pp.025013. ⟨10.1103/PhysRevD.102.025013⟩. ⟨hal-02894393⟩