Three loop MSbar renormalization of QED in the 't~Hooft-Veltman gauge

Abstract

Quantum electrodynamics (QED) fixed in the 't~Hooft-Veltman gauge is renormalized to three loops in the MSbar scheme. The beta-functions and anomalous dimensions are computed as functions of the usual QED coupling and the additional coupling, xi, which is introduced as part of the nonlinear gauge fixing condition. Similar to the maximal abelian gauge of quantum chromodynamics, the renormalization of the gauge parameter is singular.

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References in corpus (4)

• The three-loop QCD $\beta$-function and anomalous dimensions
• Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
• Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
• Three loop MSbar renormalization of QCD in the maximal abelian gauge

Cited by in corpus (3)

• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• Deconfined criticality from the QED${}_3$-Gross-Neveu model at three loops
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets