English

Quantum gravity and matter fields in a general background gauge

High Energy Physics - Theory 2026-04-28 v2

Abstract

We analyse the gauge-dependence of the effective action in an interacting quantum theory of gravitational and matter fields. An explicit off-shell result is obtained in a general background gauge at one-loop order, which reduces in a particular gauge to the effective action found by 't Hooft-Veltman. We confirm the validity of DeWitt-Kallosh theorem, which implies that the on-shell effective action should be independent of the gauge-fixing parameter. We employ this theorem to expose the non-renormalizability of the theory in a general background gauge.

Keywords

Cite

@article{arxiv.2603.23332,
  title  = {Quantum gravity and matter fields in a general background gauge},
  author = {J. Frenkel and S. Martins-Filho},
  journal= {arXiv preprint arXiv:2603.23332},
  year   = {2026}
}

Comments

18 pages, 4 figures, accepted in Physics Review D; typos corrected

R2 v1 2026-07-01T11:35:38.716Z