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Quantum gravity in the Landau background gauge

J. Frenkel1,* and S. Martins-Filho2,†

  • *Contact author: jfrenkel@if.usp.br
  • †Contact author: s.martins-filho@unesp.br
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Phys. Rev. D 114, 085019 – Published 21 October, 2026

DOI: https://doi.org/10.1103/77r5-31gd

Abstract

We examine, in the Landau background gauge, the effective action of a quantum theory of gravitational and matter fields. We analyze the Becchi-Rouet-Stora-Tyutin 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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Phys. Rev. D 114, 085019– Published 21 October, 2026
  • Received 27 April 2026
  • Accepted 5 October 2026
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