Møller scattering in $2+1$ of generalized quantum electrodynamics in the heisenberg picture

Abstract

In this paper, we investigate from the framework of generalized electrodynamics the differential cross section of the electron-electron scattering process $e^{-}{e}^{-}\to e^{-}{e}^{-}$, i.e., Møller scattering, in $(2+1)$ dimensions in the Heisenberg picture. To this goal, one starts within the stable and unitary framework of planar generalized electrodynamics, instead of Maxwell one. We argue the Haag's theorem strongly suggests the study of the differential cross section in the Heisenberg representation. Afterward, we explore the influence of Podolsky mass cutoff and calculate the differential cross section considering data based on condensed matter systems.

References in corpus (5)

• Imaging the impact on cuprate superconductivity of varying the inter-atomic distances within individual crystal unit-cells
• Classical and quantum stability of higher-derivative dynamics
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• Electroweak radiative corrections for polarized Moller scattering at future 11 GeV JLab experiment
• Quantum simulation of spontaneous pair creation in 2D optical lattices