Intermediate (d, p) approximation: D. C. Peaslee

• Book ID: 102631970
• Publisher: Elsevier Science
• Year: 1969
• Tongue: English
• Weight: 77 KB
• Volume: 55
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(69)90208-5

✦ Synopsis

The Electron-Positron Field Coupled to External Electromagnetic Potentials as an Elementary C* Algebra Theory. P. J. M. BONGAAaTS.

In recent years C* algebra concepts have been suggested for dealing rigorously with the mathematical difliculties of quantum field theory. To demonstrate some of the possibilities of these concepts we present an explicit and completely rigorous C* algebra treatment of the simple model of the electron-positron field interacting with an external, classical electromagnetic field.

The usual results most of which cannot be derived in a rigorous way within the ordinary Fock-Hilbert space formalism, are obtained here in a straightforward and mathematically unobjectionable manner, in which divergent or ill-de&red expressions are absent.

In particular no readjustments because of vacuum contributions have to be made in the resulting S operator and the terms of its perturbation series.