Infrared Problem vs Gauge Choice: Scattering of Classical Dirac Field

@article{Herdegen2021InfraredPV,
  title={Infrared Problem vs Gauge Choice: Scattering of Classical Dirac Field},
  author={Andrzej Herdegen},
  journal={Annales Henri Poincar{\'e}},
  year={2021},
  pages={1-55}
}
  • A. Herdegen
  • Published 28 December 2020
  • Mathematics
  • Annales Henri Poincaré
We consider the Dirac equation for the classical spinor field placed in an external, time-dependent electromagnetic field of the form typical for scattering settings: $$F=F^\mathrm{ret}+F^\mathrm{in}=F^\mathrm{adv}+F^\mathrm{out}$$ , where the current producing $$F^{\mathrm{ret}/\mathrm{adv}}$$ has past and future asymptotes homogeneous of degree $$-3$$ , and the free fields $$F^{\mathrm{in}/\mathrm{out}}$$ are radiation fields produced by currents with similar asymptotic behavior. We show… 
Almost Radial Gauge
  • A. Herdegen
  • Mathematics, Physics
    Annales Henri Poincaré
  • 2022
An almost radial gauge $$A^\mathrm {ar}$$ A ar of the electromagnetic potential is constructed for which $$x\cdot A^\mathrm {ar}(x)$$ x · A ar ( x ) vanishes arbitrarily

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