Interpretation of quantum field theories with a minimal length scale

It has been proposed that the incorporation of an observer independent minimal length scale into the quantum field theories of the standard model effectively describes phenomenological aspects of quantum gravity. The aim of this paper is to interpret this description and its implications for scattering processes.

Figure 1

In addition to the SM-interaction under investigation, strong gravitational effects accompany the processes in the collision region. These effects are condensed in the effective QFT model with a modified dispersion relation. Shown is the example of fermion scattering $f^{+}{f}^{-}\to f^{+}{f}^{-}$ ($s$-channel).