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P Susthitha Menon
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Rescattering corrections and self-consistent metric in Planckian scattering
Tristan Valenzuela
et al.
Jun 25, 2014
Starting from the ACV approach to transplanckian scattering, we present adevelopment of the reduced-action model in which the (improved) eikonalrepresentation is able to describe particles' motion at large scattering angleand, furthermore, UV-safe (regular) rescattering solutions are found andincorporated in the metric. The resulting particles' shock-waves undergocalculable trajectory shifts and time delays during the scattering process ---which turns out to be consistently described by both action and metric, up torelative order $R^2/b^2$ in the gravitational radius over impact parameterexpansion. Some suggestions about the role and the (re)scattering properties ofirregular solutions --- not fully investigated here --- are also presented.
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