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Then

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2017

BMS Supertranslation Symmetry Implies Faddeev-Kulish Amplitudes

Choi, Sangmin, Akhoury, Ratindranath

Understand

We show explicitly that, among the scattering amplitudes constructed from eigenstates of the BMS supertranslation charge, the ones that conserve this charge, are equal to those constructed from Faddeev-Kulish states.

Thus, Faddeev-Kulish states naturally arise as a consequence of the asymptotic symmetries of perturbative gravity and all charge conserving amplitudes are infrared finite.
In the process we show an important feature of the Faddeev-Kulish clouds dressing the external hard particles: these clouds can be moved from the incoming states to the outgoing ones, and vice-versa, without changing the infrared finiteness properties of S matrix elements.
We also apply our discussion to the problem of the decoherence of momentum configurations of hard particles due to soft boson effects.

Built on

F. Bloch and A. Nordsieck, Note on the radiation field of the electron , Phys. Rev. 52
1937
Earlier work this paper cites.
P. A. M. Dirac, Gauge-invariant formulation of quantum electrodynamics , Canadian Journal of Physics 33
1955
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems , Proc. Roy. Soc. Lond. A269
1962
Earlier work this paper cites.
R. K. Sachs, Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times , Proc. Roy. Soc. Lond. A270
1962
Earlier work this paper cites.
V. Chung, Infrared divergence in quantum electrodynamics , Phys. Rev. 140
1965
Earlier work this paper cites.