BRST symmetry for Regge–Teitelboim-based minisuperspace models

Jun 17, 2015
15 pages
Published in:
  • Eur.Phys.J.C 76 (2016) 7, 394
  • Published: Jul 13, 2016
e-Print:

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Abstract: (Springer)
The Einstein–Hilbert action in the context of higher derivative theories is considered for finding their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and the gauge symmetries are explored. Exploiting the first order formalism developed by Banerjee et al. the diffeomorphism symmetry is extracted. From the general form of the gauge transformations of the field, the analogous BRST transformations are calculated. The effective Lagrangian is constructed by considering two gauge-fixing conditions. Further, the BRST (conserved) charge is computed, which plays an important role in defining the physical states from the total Hilbert space of states. The finite field-dependent BRST formulation is also studied in this context where the Jacobian for the functional measure is illustrated specifically.
Note:
  • 16 pages, title changed, revised version, to appear in EPJC
  • transformation: Becchi-Rouet-Stora
  • quantization: Becchi-Rouet-Stora
  • transformation: gauge
  • symmetry: gauge
  • minisuperspace
  • effective Lagrangian
  • conservation law
  • diffeomorphism
  • Hilbert space
  • gauge fixing