Introduction/purpose: The problem of divergencies in Quantum Electrodynamics (QED) is discussed. Methods: renormalisation group method employed for dealing with infinities QED. Results: integrals QED giving physical observables are finite. Conclusions: can be treated a consistent way providing mathematical rigorous results.

We discuss recent progress in various problems related to bound-state quantum electrodynamics: the bound-electron g factor, two-loop self-energy corrections and the laser-dressed Lamb shift. The progress relies on various advances in the bound-state formalism, including ideas inspired by effective field theories such as Nonrelativistic Quantum Electrodynamics. Radiative corrections in dynamical...

Superficially, this theory will diverge very similarly to quantum electrodynamics because the fields and the coupling constant have the same dimensions as in quantum electrodynamics. Therefore, we see that the superficial divergence is given by D = 4L − 2Pφ − Pe where L represents the number of loops and Pφ and Pe represent the number of pseudo-scalar and fermion propagator particles, respectiv...

This paper develops the terms of order $\mathrm{\ensuremath{\Elzxh}}$ for quantum kinetic theory heavy fermions in QED, especially which contribute to spin polarization both and photons. is a significant first step developing complete analysis QCD, relevant ion collisions.

We propose a new method to derive certain higher order estimates in quantum electrodynamics. Our method is particularly convenient in the application to the non-local semi-relativistic models of quantum electrodynamics as it avoids the use of iterated commutator expansions. We re-derive higher order estimates obtained earlier by Fröhlich, Griesemer, and Schlein and prove new estimates for a non...