Coherent states and classical radiative observables in the S-matrix formalism
Citation:
Gonzo, Riccardo, Coherent states and classical radiative observables in the S-matrix formalism, Trinity College Dublin.School of Mathematics, 2022Download Item:
Abstract:
In this thesis, we study classical radiative observables perturbatively in terms of
on-shell scattering amplitudes. In particular, we focus primarily on the two-body
problem in gauge and gravitational theories by using an effective field theory ap-
proach. The Kosower-Maybee-O Connell (KMOC) approach, which follows from the
classical on-shell reduction of the in-in formalism by using appropriate massive particle
wavefunctions, is extended to include classical waves which are naturally described by
coherent states. Global observables like the impulse and localized observables like the
waveform and gravitational event shapes are then studied in the amplitude approach,
making contact also with asymptotic symmetries and light-ray operators defined near
null infinity. The classical factorization of radiative observables from the uncertainty
principle is proved to be equivalent to a Poisson distribution in the Fock space, and
this provides new evidence in favor of a representation of the classical S-matrix in
terms of an eikonal phase and a coherent state of gravitons.
Sponsor
Grant Number
Marie Sklodowska-Curie grant agreement No.764850 SAGEX
Grant agreement No. 647356 (CutLoops)
Description:
APPROVED
Author: Gonzo, Riccardo
Advisor:
Britto, RuthPublisher:
Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied MathematicsType of material:
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