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 review recent experimental advances in the field of efficient coupling of single atoms and light in free space. Furthermore, a comparison of efficient free space coupling and strong coupling in cavity quantum electrodynamics (QED) is given. Free space coupling does not allow for observing oscillatory exchange between the light field and the atom which is the characteristic feature of strong ...

Introduction/purpose: The problem of quantum corrections to propagators in Quantum Electrodynamics (QED) is discussed. Methods: Dyson-Schwinger equation employed for correcting QED. Results: observable quantities QED are finite. Conclusions: divergencies can be avoided by redefining physical a suitable manner.

We point out that, contrary to what is believed to hold for QCD, renormalons are genuine in QED; i.e. the ambiguities which come with them do not require cancellation by hypothetical non-perturbative contributions. They are just the ambiguities characteristic of any trivial —and thus effective— theory. If QED remained an isolated theory up to an energy close to its triviality scale, these ambig...

It is recommended that lattice QCD representations of the fermion determinant, including the discretization of the Dirac operator, be checked in the continuum limit against known QED determinant results. Recent work on the massive QED fermion determinant in two dimensions is reviewed. A feasible approach to the four-dimensional QED determinant with O(2) × O(3) symmetric background fields is bri...

This is a pedagogical introduction to NRQED, a nonrelativistic approximation to quantum electrodynamics. It can be made to reproduce QED to any degree of precision when applied to nonrelativistic systems and is particularly powerful when applied to bound states. We will begin by explaining what makes bound states so special, and so difficult to treat using QED. We will then develop the most näı...

The present status of quantum electrodynamics (QED) theory of heavy few-electron ions is reviewed. The theoretical results are compared with available experimental data. A special attention is focused on tests of QED at strong fields and on determination of the fundamental constants. A recent progress on calculations of the QED corrections to the parity nonconserving 6s-7s transition amplitude ...

The effect of sea quark electromagnetic charge on meson masses is investigated, and first results for full QED+QCD low-energy constants are presented. The electromagnetic charge for sea quarks is incorporated in quenched QED+full QCD lattice simulations by a reweighting method. The reweighting factor, which connects quenched and unquenched QED, is estimated using a stochastic method on 2+1 flav...