TL;DR
This paper investigates whether quantum gravity affects the running of the electromagnetic charge and finds no such contribution, challenging previous claims about quantum gravity's impact on charge behavior at high energies.
Contribution
It provides a gauge-invariant, gauge condition independent calculation showing quantum gravity does not alter the running of the electromagnetic charge.
Findings
No quantum gravity contribution to the running charge
Quantum gravity does not affect asymptotic freedom in electromagnetism
Challenges previous predictions of quantum gravity's influence
Abstract
We study the question of the gauge dependence of the quantum gravity contribution to the running gauge coupling constant for electromagnetism. The calculations are performed using dimensional regularization in a manifestly gauge invariant and gauge condition independent formulation of the effective action. It is shown that there is no quantum gravity contribution to the running charge, and hence there is no alteration to asymptotic freedom at high energies as predicted by Robinson and Wilczek.
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