Brazilian Journal of Physics

, Volume 47, Issue 3, pp 350–365 | Cite as

BRST Quantization of Unimodular Gravity

  • Sudhaker Upadhyay
  • Markku Oksanen
  • Rodrigo Bufalo
Particles and Fields

Abstract

We study the quantization of two versions of unimodular gravity, namely fully diffeomorphism-invariant unimodular gravity and unimodular gravity with fixed metric determinant, utilizing standard path integral approach. We derive the BRST symmetry of effective actions corresponding to several relevant gauge conditions. We observe that for some gauge conditions, the restricted gauge structure may complicate the formulation and effective actions, in particular, if the chosen gauge conditions involve the canonical momentum conjugate to the induced metric on the spatial hypersurface. The BRST symmetry is extended further to the finite field-dependent BRST transformation, in order to establish the mapping between different gauge conditions in each of the two versions of unimodular gravity.

Keywords

Unimodular gravity BRST symmetry 

Notes

Acknowledgments

M.O. gratefully acknowledges support from the Emil Aaltonen Foundation. R.B. acknowledges FAPESP and CNPq for partial support, FAPESP Project No. 2011/20653-3 and CNPq Project No. 304241/2016-4.

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Copyright information

© Sociedade Brasileira de Física 2017

Authors and Affiliations

  • Sudhaker Upadhyay
    • 1
  • Markku Oksanen
    • 2
  • Rodrigo Bufalo
    • 3
  1. 1.Centre for Theoretical StudiesIndian Institute of Technology KharagpurKharagpurIndia
  2. 2.Department of PhysicsUniversity of HelsinkiHelsinkiFinland
  3. 3.Departamento de FísicaUniversidade Federal de LavrasLavras-MGBrazil

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