nLab soft graviton theorem




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:

  • Noah Miller, From Noether’s Theorem to Bremsstrahlung: a pedagogical introduction to large gauge transformations and classical soft theorems (arXiv:2112.05289)

See also:

Discussion of application to gravitational waves in the classical limit:

Discussion in the BFSS matrix model:

Analogous discussion for gluons:

  • Peng Cheng, Pujian Mao, Soft gluon theorems in curved spacetime [arXiv:2211.00031]

Analogous discussion for phonons:

  • Clifford Cheung, Maria Derda, Andreas Helset, Julio Parra-Martinez, Soft Phonon Theorems [arXiv:2301.11363]

Last revised on March 28, 2023 at 05:39:41. See the history of this page for a list of all contributions to it.