This thesis presents several important aspects of the plasma
dynamics in extremely high intensity electromagnetic fields when
quantum electrodynamics effects have to be taken into account. This
work is of utmost importance for the forthcoming generation of
multipetawatt laser facilities where this physics will be tested.
The first part consists of an introduction that extends from
classical and quantum electrodynamics in strong fields to the
kinetic description of plasmas in the interaction with such fields.
This can be considered as an advanced tutorial which would be
extremely useful to researchers and students new to the field. The
second part describes original contributions on the analysis of the
signatures of classical and quantum radiation reaction on the
distribution function of the charged particles and of the photon
spectrum, and leads to significant advances on this topic. These
results are then extended to the analysis of the so-called QED
cascades which are of central importance for a better understanding
of some astrophysical phenomena and basic physics problems.
Finally, the book discusses future directions for the high
intensity laser-plasma interaction community. The results presented
in this thesis are expected to become more and more relevant as the
new multipetawatt facilities become operative.
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