Formalism
Definition
Spacetime configurations
Properties
Spacetimes
black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
Quantum theory
In perturbative quantum gravity, the soft graviton theorem (Weinberg 65) re-formulates scattering amplitudes of a set of finite energy external particles with one or more low energy external gravitons, in terms of the amplitude without the low energy gravitons.
In the classical limit, there is a different manifestation of the same theorem (Saha-Sahoo-Sen 19): here it determines the low frequency component of the gravitational wave-form produced during a scattering process in terms of the momenta and spin of the incoming and outgoing objects, without any reference to the interactions responsible for the scattering.
Original reference:
Review with focus on photons in electromagnetism:
See also:
Discussion of application to gravitational waves in the classical limit:
Discussion in the BFSS matrix model:
Noah Miller, Andrew Strominger, Adam Tropper, Tianli Wang, Soft Gravitons in the BFSS Matrix Model [arXiv:2208.14547]
Adam Tropper, Tianli Wang, Lorentz Symmetry and IR Structure of The BFSS Matrix Model [arXiv:2303.14200]
Aidan Herderschee, Juan Maldacena, Soft Theorems in Matrix Theory [arXiv:2312.15111]
Analogous discussion for gluons:
Analogous discussion for phonons:
Last revised on December 27, 2023 at 07:11:48. See the history of this page for a list of all contributions to it.