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MPINP:
Research group A. Di Piazza – Division C. H. Keitel
Abstract:
We study the high-energy behaviour of QED in a strong plane wave electromagnetic
background field generated by a laser pulse. Earlier calculations in this field
hinted that under this circumstances the coupling constant of QED may increase
with the 2/3-power of the energy scale for high energies and not logarithmic like in
normal vacuum QED. Nevertheless, this calculations were performed in the limit
of low laser frequencies or constant-crossed-fields. We show in this work that this
limit does not commute with the high-energy limit and thus the power-law scaling
just pertains to the constant-crossed field limit. Further we calculate the asymptotic
expression of the polarization and mass operator in a strong laser pulse in
the limit of high energetic photons and electrons, respectively, and obtain that
they scale double logarithmic with the energy scale. Using this we show that also
the probability for non-linear Breit-Wheeler pair production and for non-linear
Compton scattering scales logarithmic with the energy like in vacuum QED.
