We perform covariant quantization of Einstein gravity in spherical harmonic basis in the background of a Schwarzschild black hole. We use Regge-Wheeler gauge for modes with l>=2, and propose the gauge for l<2 modes. We find that Faddeev-Popov ghosts are absent for l>=2 and for l<2 they have instantaneous propagators in Schwarzschild coordinates, like in Coulomb gauge in QCD.
We further perform a canonical quantization of gravity in this gauge and establish that the Hamiltonian at the quadratic level is unitary and ghost-free. The canonical degrees of freedom are associated with Zerilli-Moncrief and Cunningham-Price-Moncrief functions. The l<2 part of the Hamiltonian vanishes. This quantization with the unitary Hamiltonian for gravity is valid also in Minkowski space in spherical coordinates.
Add to Calendar
2021-07-07T11:00:002021-07-07T12:00:00Quantization of Gravity in the Black Hole BackgroundEvent Information:
We perform covariant quantization of Einstein gravity in spherical harmonic basis in the background of a Schwarzschild black hole. We use Regge-Wheeler gauge for modes with l>=2, and propose the gauge for l<2 modes. We find that Faddeev-Popov ghosts are absent for l>=2 and for l<2 they have instantaneous propagators in Schwarzschild coordinates, like in Coulomb gauge in QCD.
We further perform a canonical quantization of gravity in this gauge and establish that the Hamiltonian at the quadratic level is unitary and ghost-free. The canonical degrees of freedom are associated with Zerilli-Moncrief and Cunningham-Price-Moncrief functions. The l<2 part of the Hamiltonian vanishes. This quantization with the unitary Hamiltonian for gravity is valid also in Minkowski space in spherical coordinates.Event Location:
Connect via Zoom