2015/10/31 by Sudhaker Upadhyay, S. Upadhyay, M. Oksanen +3 · 14 citations
Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge symmetry #Gauge theory #Metric (unit) #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Symmetry (geometry) #Unimodular matrix #gr-qc #hep-th
paper · pdf · doi:10.1007/s13538-017-0500-5
published in Brazilian Journal of Physics 47(3), 350-365 (Springer Science+Business Media) · 26 pages, minor modification in texts
arxiv created 2017/02/21 · openalex created_date 2017/03/16 · openalex publication_date 2017/04/21 · arxiv updated 2017/05/08 · openalex updated_date 2026/08/05
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.