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Causal Perturbation Theory

  • G. Scharf
Chapter
  • 184 Downloads
Part of the Theoretical and Mathematical in Physics book series (TMP)

Abstract

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)).

Keywords

Vacuum Polarization Vertex Function Infrared Singularity Lorentz Frame Feynman Propagator 
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Referenzen

  1. 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

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • G. Scharf
    • 1
  1. 1.Institut für Theoretische PhysikUniversität ZürichZürichSwitzerland

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