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Gauge invariant renormalizability of quantum gravity

Peter M. Lavrov1,2,3,* and Ilya L. Shapiro2,1,3,†

  • 1Department of Mathematical Analysis, Tomsk State Pedagogical University, 634061, Kievskaya Street 60, Tomsk, Russia
  • 2Departamento de Física, ICE, Universidade Federal de Juiz de Fora Juiz de Fora, CEP: 36036-330, MG, Brazil
  • 3National Research Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia

  • *lavrov@tspu.edu.ru
  • †shapiro@fisica.ufjf.br
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Phys. Rev. D 100, 026018 – Published 29 July, 2019

DOI: https://doi.org/10.1103/PhysRevD.100.026018

Abstract

Using the Batalin-Vilkovisky technique and the background field method the proof of gauge invariant renormalizability is elaborated for a generic model of quantum gravity which is diffeomorphism invariant and has no other, potentially anomalous, symmetries. The gauge invariant renormalizability means that in all orders of loop expansion of the quantum effective action one can control deformations of the generators of gauge transformations which leave such an action invariant. In quantum gravity this means that one can maintain general covariance of the divergent part of effective action when the mean quantum field, ghosts, and antifields are switched off.

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Phys. Rev. D 100, 026018– Published 29 July, 2019
  • Received 15 April 2019
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