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ABSTRACT Replying to J. Ellis & N. E. Mavromatos _Nature_ 479, doi:10.1038/nature10619 (2011) In a previous paper1, I used the gauge-invariant background-field method to calculate a

contribution to the renormalization of electric charge due to quantum gravity that was quadratically dependent on an energy cut-off. This was done by taking a constant electromagnetic

background field, _F_. The result was used to support the original suggestion of Robinson and Wilczek2 that quadratic divergences could lead to asymptotic freedom. This result has been

criticized by Ellis and Mavromatos3 and their present submission4 gives a shortened and altered discussion of their viewpoint. Access through your institution Buy or subscribe This is a

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THE QUANTUM EQUIVALENCE PRINCIPLE Article Open access 01 August 2023 ARTIFICIAL DYNAMICAL EFFECTS IN QUANTUM FIELD THEORY Article 09 May 2022 THE DOMINATING MODE OF TWO COMPETING MASSIVE

MODES OF QUADRATIC GRAVITY Article Open access 26 May 2023 REFERENCES * Toms, D. J. Quantum gravitational contributions to quantum electrodynamics. _Nature_ 468, 56–59 (2010) Article  CAS 

ADS  Google Scholar  * Robinson, S. P. & Wilczek, F. Gravitational correction to running of gauge couplings. _Phys. Rev. Lett._ 96, 231601 (2006) Article  ADS  Google Scholar  * Ellis,

J. & Mavromatos, N. E. On the interpretation of gravitational corrections to gauge couplings. Preprint at 〈http://arXiv.org/abs/1012.4353〉 (2010) * Ellis, J. & Mavromatos, N. E. Does

gravity correct gauge couplings? _Nature_ 479, doi:10.1038/nature10619 (this issue). * Anber, M. M., Donoghue, J. F. & El-Houssieny, M. Running couplings, and operator mixing in the

gravitational corrections to coupling constants. _Phys. Rev. D_ 83, 124003 (2011) Article  ADS  Google Scholar  * Toms, D. J. Quadratic divergences and quantum gravitational contributions to

gauge coupling constants. _Phys. Rev. D_ 84, 084016 (2011) Article  ADS  Google Scholar  * Toms, D. J. Cosmological constant and quantum gravitational corrections to the running fine

structure constant. _Phys. Rev. Lett._ 101, 131301 (2008) Article  ADS  Google Scholar  Download references AUTHOR INFORMATION AUTHORS AND AFFILIATIONS * Newcastle University, School of

Mathematics and Statistics, Herschel Building, upon Tyne NE1 7RU, Newcastle, UK D. J. Toms Authors * D. J. Toms View author publications You can also search for this author inPubMed Google

Scholar CORRESPONDING AUTHOR Correspondence to D. J. Toms. RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE Toms, D. Toms replies. _Nature_ 479, E6

(2011). https://doi.org/10.1038/nature10620 Download citation * Published: 23 November 2011 * Issue Date: 24 November 2011 * DOI: https://doi.org/10.1038/nature10620 SHARE THIS ARTICLE

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