Corrections to gauge theories in effective quantum gravity with a cutoff
G. Cynolter, E. Lendvai
TL;DR
This paper calculates quantum gravity effects on QED using a gauge-preserving cutoff, finding quadratic contributions that do not alter the coupling's running, suggesting gravity does not induce asymptotic freedom in gauge theories.
Contribution
It introduces a gauge and Lorentz invariant momentum cutoff to compute quantum gravity corrections to QED, showing these do not affect the coupling's renormalization.
Findings
Quadratic contributions to photon 2-point function are present.
Gravity does not cause gauge theories to become asymptotically free.
The improved cutoff preserves gauge and Lorentz symmetries.
Abstract
We calculate the lowest order quantum gravity contributions to QED beta function in an effective field theory picture with a momentum cutoff. We use a recently proposed 4 dimensional improved momentum cutoff that preserves gauge and Lorentz symmetries. We find that there is non-vanishing quadratic contribution to the photon 2-point function but that does not lead to the running of the original coupling after renormalization. We argue that gravity cannot turn gauge theories asymptotically free.
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