Covariant BRST Quantization of Unimodular Gravity II -- Formulation with a vector antighost --
arXiv:2202.10740 · doi:10.1103/PhysRevD.105.106006
Abstract
In our previous paper, we have presented a covariant BRST quantization of unimodular gravity which may account for the smallness of the cosmological constant, and have shown that the physical degrees of freedom in the theory are the same as general relativity. The formulation has been given by using rank-2 antisymmetric tensor fields for both ghosts and antighosts. Here we give an alternative formulation using a vector field for the antighost but keeping the same structure for the ghosts. This gives a significantly simpler covariant quantization with less ghosts and no tripole modes in the ghost sector. We show that this also gives only two physical transverse modes as in general relativity.
arXiv comment23 pages, v2: minor corrections, a ref. added. arXiv admin note: text overlap with arXiv:2202.03626
References in corpus (18)
- On the Trace-Free Einstein Equations as a Viable Alternative to General Relativity
- The quantization of unimodular gravity and the cosmological constant problem
- A note on classical and quantum unimodular gravity
- Quantum Corrections to Unimodular Gravity
- On unimodular quantum gravity
- How unimodular gravity theories differ from general relativity at quantum level
- On the UV structure of quantum unimodular gravity
- Unimodular quantum gravity and the cosmological constant
- The path integral of unimodular gravity
- Semiclassical Unimodular Gravity
- Unimodular Gravity Redux
- Can quantum fluctuations differentiate between standard and unimodular gravity?
- Covariant BRST Quantization of Unimodular Gravity I -- Formulation with antisymmetric tensor ghosts --
- Unimodular Gauge in Perturbative Gravity and Supergravity
- Non-minimal Tinges of Unimodular Gravity
- General Procedure of Gauge Fixings and Ghosts
- Unimodular Gravity and General Relativity UV divergent contributions to the scattering of massive scalar particles
- BRST Quantization of General Relativity in Unimodular Gauge and Unimodular Gravity