Bi-Local Field in Gravitational Shock Wave Background

TL;DR

This paper investigates how bi-local models, representing relativistic bound systems akin to open strings, interact with gravitational shock waves, focusing on the impact of bound states on scattering amplitudes in high-energy regimes.

Contribution

It introduces the analysis of bi-local models' scattering with shock waves, highlighting the bound-state effects on interaction amplitudes, a novel approach in the context of gravitational shock wave backgrounds.

Findings

Bound-state effects modify scattering amplitudes significantly.

Bi-local models provide insights into string-like interactions with shock waves.

Results have implications for AdS/CFT correspondence and high-energy gravitational interactions.

Abstract

The particles with almost light velocity are able to be sources of the shock-wave gravity (SWG). Then, for ultra-high-energy particles, there exist two-body scatterings such that one particle is scattered from the gravitational background produced by another particle. Since the spacetime of SWG is closely related to a pp-wave solution of AdS-type background, this type of interaction is also interesting in AdS dual gauge theories. From those viewpoints, the scattering of point particles or strings by the SWG were studied. In this paper, we study the case of the bi-local models, which are simple relativistic bound systems having a close relation with specific modes of open strings. In particular, we analyze the bound-state effect on the scattering amplitudes, which describe the interaction between this model and SWG.