Causal Perturbation Theory
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In this chapter we deal with full QED which means that both the electronpositron field and the radiation field are quantized. In the preceding chapter, in particular in Sect. 2.4, we learned the important lesson that it is rather hopeless to give a precise meaning to interacting field operators directly. We have to retreat to scattering theory, instead, and we shall now construct the S-matrix of full QED. We already emphasized the importance of causality for constructing the S-matrix (Sects. 2.8–10). Here we shall see causality in its full strength: The S-matrix is essentially completely determined by causality and translation invariance, supposed the coupling, i.e. the first order of the perturbation series, is given. 1 The program was developed independently and even earlier by E.C.G. Stueckelberg and his collaborators (see G.Wanders, Fortschritte der Physik 4, 611 (1956)).
KeywordsVacuum Polarization Vertex Function Infrared Singularity Lorentz Frame Feynman Propagator
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- 1.The program was developed indepently and even earlier by E.C.G. Stueckelberg and his collaborators (see G.Wanders, Fortschritte der Physik 4, 611 (1956)).Google Scholar