Simple connection between covariant Feynman formalism and time-ordered perturbation theory in the infinite-momentum frame
Author(s) -
Michael G. Schmidt
Publication year - 1974
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.9.408
Subject(s) - feynman diagram , covariant transformation , physics , formalism (music) , mathematical physics , parametrization (atmospheric modeling) , perturbation theory (quantum mechanics) , simple (philosophy) , classical mechanics , theoretical physics , quantum mechanics , art , musical , visual arts , philosophy , epistemology , radiative transfer
We introduce a parametrization of loop momenta which allows us to perform one of the Feynman integrations in a very transparent way. This leads to expressions which can easily be related to terms resulting from time-ordered perturbation theory in the infinite momentum frame. To exemplify our method we consider some simple Feynman integrals. As another example we discuss the covariant expressions of Landshoff, Polkinghorne, and Short for the scaling graph and the electromagnetic form factor. We indicate how to substitute the Sudakov parametrization in their work in order to simplify their discussion and to make comparisons with the work of Gunion, Brodsky, and Blankenbecler more convenient. Finally we derive an elegant form of the bound state Bethe-Salpeter equation in which one of the Feynman integrations is performed. (Submitted for publication. ) *Work supported by the U. S. Atomic Energy Commission. “fMax Kade Fellow 1972/73, on leave of absence from the Institut fiir Theoretische Physik der UniversitZit Heidelberg.
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