# 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} }

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…

## One Citation

Almost Radial Gauge

- Mathematics, PhysicsAnnales 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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