Quantum gravitational contributions to the beta function of quantum electrodynamics

Abstract

We show in a diagrammatic and regularization independent analysis that the quadratic contribu- tion to the beta function which has been conjectured to render quantum electrodynamics asymp- totically free near the Planck scale has its origin in a surface term. Such surface term is intrinsically arbitrarily valued and it is argued to vanish in a consistent treatment of the model.

5 pages, 1 figure

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• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• Quantum Gravitational Contributions to Gauge Field Theories
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• The Einstein-Maxwell system, Ward identities, and the Vilkovisky construction
• An asymptotically safe guide to quantum gravity and matter
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• Ambiguities in the gravitational correction of quantum electrodynamics
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