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PreprintCC BY 4.0arXiv

Quantum Gravity in the Landau background gauge

  • J. Frenkel
  • S. Martins-Filho
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Abstract

We examine, in the Landau background gauge, the effective action of a quantum theory of gravitational and matter fields. We analyse the BRST invariance of this theory and study the Ward identities which implement the symmetry of the background effective action. The off-shell and on-shell counterterm Lagrangians are explicitly calculated in this gauge at one-loop order. We argue that the matter self-energy in the Landau background gauge, which is finite to this order, may be finite also at higher loops.

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Cite

BibTeXRIS
BibTeX
@misc{frenkel2026quantum,
  title = {{Quantum Gravity in the Landau background gauge}},
  author = {J. Frenkel and S. Martins-Filho},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06564},
  eprint = {2610.06564},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06564},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Gravity in the Landau background gauge
AU  - J. Frenkel
AU  - S. Martins-Filho
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.06564
UR  - https://arxiv.org/abs/2610.06564
AB  - We examine, in the Landau background gauge, the effective action of a quantum theory of gravitational and matter fields. We analyse the BRST invariance of this theory and study the Ward identities which implement the symmetry of the background effective action. The off-shell and on-shell counterterm Lagrangians are explicitly calculated in this gauge at one-loop order. We argue that the matter self-energy in the Landau background gauge, which is finite to this order, may be finite also at higher loops.
ER  -