Ambiguities in the gravitational correction of quantum electrodynamics

Abstract

We verify that quadratic divergences stemming from gravitational corrections to QED which have been conjectured to lead to asymptotic freedom near Planck scale are arbitrary (regularization dependent) and compatible with zero. Moreover we explicitly show that such arbitrary term contributes to the beta function of QED in a gauge dependent way in the gravitational sector.

References in corpus (3)

• Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
• Absence of gravitational contributions to the running Yang-Mills coupling
• Quantum gravitational contributions to the beta function of quantum electrodynamics

Cited by in corpus (8)

• Gauge-invariant quantum gravitational corrections to correlation functions
• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• Gravitational corrections to a non-Abelian gauge theory
• Gravitational corrections to the Einstein-Scalar-QCD model
• A technique for natural gauge boson masses
• Gravitational corrections to the scattering in a massless quantum electrodynamics
• Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory
• Gravitational corrections to the scattering of scalar particles