Quantization of Gravity in the Black Hole Background

Event Date:
2021-07-07T11:00:00
2021-07-07T12:00:00
Event Location:
Connect via Zoom
Speaker:
Renata Kallosh (Stanford)
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Intended Audience:
Graduate
Local Contact:

Miriam Cabero

Event 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.

Add to Calendar 2021-07-07T11:00:00 2021-07-07T12:00:00 Quantization of Gravity in the Black Hole Background Event 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&gt;=2, and propose the gauge for l&lt;2 modes. We find that Faddeev-Popov ghosts are absent for l&gt;=2 and for l&lt;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&lt;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