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The Feynman-Schwinger Representation for the Relativistic Two-Particle Amplitude in Field Theory

✍ Scribed by Y.A. Simonov; J.A. Tjon

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
600 KB
Volume
228
Category
Article
ISSN
0003-4916

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✦ Synopsis

The proper time path-integral representation for the two-body Green's function is derived for several examples of field theory, e.g., the (\varphi^{3}) theory in (4 d), scalar and spinor QED, and its properties are studied in the quenched approximation. The perturbative expansion is shown to coincide with the usual Feynman amplitudes. In the limit of one heavy mass one obtains the Klein-Fock-Gordon or Dirac equation for scalar and spinor particles, respectively. (c 1993 Academic Press, Inc.

πŸ“œ SIMILAR VOLUMES

Spectral integral for the representation
Spectral integral for the representation of the space-time translation group in relativistic quantum theory
✍ Armin Uhlmann πŸ“‚ Article πŸ“… 1961 πŸ› Elsevier Science 🌐 English βš– 458 KB

The structure of the representation of the space-time translation group in relativistic quantum theory is examined by means of an operator spectral integral. There is one and only one operator-valued function on the complex forward cone which is an analytic continuation of that representation.