Rescattering corrections and self-consistent metric in Planckian scattering

Abstract

Starting from the ACV approach to transplanckian scattering, we present a development of the reduced-action model in which the (improved) eikonal representation is able to describe particles' motion at large scattering angle and, furthermore, UV-safe (regular) rescattering solutions are found and incorporated in the metric. The resulting particles' shock-waves undergo calculable trajectory shifts and time delays during the scattering process --- which turns out to be consistently described by both action and metric, up to relative order $R^2/b^2$ in the gravitational radius over impact parameter expansion. Some suggestions about the role and the (re)scattering properties of irregular solutions --- not fully investigated here --- are also presented.

39 pages, 14 figures

References in corpus (4)

• Gravitational effects in ultrahigh-energy string scattering
• Towards an S-matrix Description of Gravitational Collapse
• High-energy string-brane scattering: leading eikonal and beyond
• S-matrix and Quantum Tunneling in Gravitational Collapse

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• Regge behavior saves String Theory from causality violations
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems