Strong fields, quantum electrodynamics

Greiner W, Muller B, Rafelski J (1985) Quantum Electrodynamics of Strong Fields. Springer, Berlin... 

Basic Theory and Quantum Electrodynamics in Strong Fields... 

In particular, the consideration of relativistic and QED effects of electronic systems (i.e. free electrons, electronic ions, atoms or molecules) in strong external electromagnetic fields provides various appropriate scenarios for sensitive tests of our understanding of the underlying interactions. Theories of fundamental interactions, such as quantum electrodynamics (QED) or the standard model of electroweak interactions can be tested conclusively by studying QED radiative corrections and parity-violating effects (PNC) in the presence of strong fields. 

In the preceeding sections we have shown the current status of quantum electrodynamical and related calculations in heavy hydrogenlike systems with its unique strong electric and magnetic fields. From our present experimental knowledge there is no contradiction to the theory of quantum electrodynamics as we use it nowadays. However, an increasing experimental precision may still point to deviations in the theory since in Lamb shift calculations the predictions are still at least one order of magnitude more precise than the best experimental values. On the other hand we... 

G. Soff, T. Beier, M. Greiner, H. Persson, G. Plunien, Quantum electrodynamics of strong fields Status and perspectives, Adv. Quantum Chem. 30 (1998) 125-161. 

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