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Formulation of a nonperturbative quantumelectrodynamics as a nonlinear classical first quantized field theory. (English) Zbl 0702.53057

Differential geometric methods in theoretical physics, Proc. 15th Int. Conf., DGM, Clausthal/FRG 1986, 51-65 (1987).
Summary: [For the entire collection see Zbl 0697.00025.]
Characteristic radiative QED-effects like Lamb shift, spontaneous emission, anomalous magnetic moment, Casimir effect, are obtained within the framework of a nonperturbative first quantized classical field theory. New differential geometric and group theoretical investigations can now be made in this nonlinear formulation. A procedure to obtain a finite field theory, free from infrared and ultraviolet divergences, is outlined. Possible new effects in the short distance behavior of QED are pointed out.

MSC:

53B50 Applications of local differential geometry to the sciences
81V10 Electromagnetic interaction; quantum electrodynamics

Citations:

Zbl 0697.00025