Angular momentum of zero-frequency gravitons
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Angular momentum of zero-frequency gravitons. / Di Vecchia, Paolo; Heissenberg, Carlo; Russo, Rodolfo.
In: Journal of High Energy Physics, Vol. 2022, No. 8, 172, 18.08.2022.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Angular momentum of zero-frequency gravitons
AU - Di Vecchia, Paolo
AU - Heissenberg, Carlo
AU - Russo, Rodolfo
PY - 2022/8/18
Y1 - 2022/8/18
N2 - By following closely Weinberg's soft theorem, which captures the 1/omega pole contribution to the amplitude for soft graviton emissions (omega < Lambda on top of an arbitrary background hard process, we calculate the expectation value of the graviton's angular momentum operator for arbitrary collisions dressed with soft radiation. We find that the result becomes independent of the cutoff Lambda on the graviton's frequency, effectively localizing at omega = 0. In this way, our result captures the contribution to the angular momentum that comes from the zero-frequency modes. Like the soft theorem, our formula has an exact dependence on the kinematics of the hard particles and is only a function of their momenta. As an example, we discuss in some detail the case of the 2 -> 2 scattering of spinless particles in General Relativity and N = 8 supergravity.
AB - By following closely Weinberg's soft theorem, which captures the 1/omega pole contribution to the amplitude for soft graviton emissions (omega < Lambda on top of an arbitrary background hard process, we calculate the expectation value of the graviton's angular momentum operator for arbitrary collisions dressed with soft radiation. We find that the result becomes independent of the cutoff Lambda on the graviton's frequency, effectively localizing at omega = 0. In this way, our result captures the contribution to the angular momentum that comes from the zero-frequency modes. Like the soft theorem, our formula has an exact dependence on the kinematics of the hard particles and is only a function of their momenta. As an example, we discuss in some detail the case of the 2 -> 2 scattering of spinless particles in General Relativity and N = 8 supergravity.
KW - Black Holes
KW - Classical Theories of Gravity
KW - Scattering Amplitudes
KW - Supergravity Models
KW - GRAVITATIONAL-WAVES
KW - BREMSSTRAHLUNG
KW - GENERATION
KW - DERIVATION
KW - PHOTONS
U2 - 10.1007/JHEP08(2022)172
DO - 10.1007/JHEP08(2022)172
M3 - Journal article
VL - 2022
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 8
M1 - 172
ER -
ID: 318433613