Corrections to Scattering Processes due to Minimal Measurable Length

TL;DR

This paper investigates how a minimal measurable length modifies low energy scattering processes, revealing that such quantum gravitational effects can have observable consequences at scales larger than the Planck length.

Contribution

It provides explicit calculations of short distance corrections to Green functions and conserved currents in scattering, highlighting low energy effects of spacetime's extended structure.

Findings

Deformation affects Green functions and conserved currents.

Low energy consequences are observable at scales larger than Planck.

Pre-asymptotic corrections influence scattering flux at small distances.

Abstract

In this paper, we will analyze the short distance corrections to low energy scattering. They are produced because of an intrinsic extended structure of the background geometry of spacetime. It will be observed that the deformation produced by a minimal measurable length can have low energy consequences, if this extended structure occurs at a scale much larger than the Planck scale. We explicitly calculate short distance corrections to the Green function of the deformed Lippmann-Schwinger equation, and to the conserved currents for these processes. We then use them to analyze the pre-asymptotic corrections to the differential scattering flux at finite macroscopically small distances.