Corrections to Scattering Processes due to Minimal Measurable Length
arXiv:1808.01894 · doi:10.1016/j.physletb.2019.05.007
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.
10 pages, Accepted in Phys. Lett. B
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