1995/08/27 by K. Daikouji, M. Shino, Y. Sumino
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Particle Accelerators and Free-Electron Lasers #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1103/physrevd.53.4598
published as Phys.Rev. D53 (1996) 4598-4615 · 38pages, 18 Postscript figures, uses epsf.sty
arxiv created 1995/08/27 · openalex publication_date 1996/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive a full Bern-Kosower-type rule for scalar QED starting from quantum field theory: we derive a set of rules for calculating S-matrix elements for any processes at any order of the coupling constant. A gauge-invariant set of diagrams in general is first written in the world line path-integral expression. Then we integrate over x(\ensuremathτ), and the resulting expression is given in terms of a correlation function on the world line 〈x(\ensuremathτ)x(\mathrm\ensuremathτ^\ensuremath')〉. Simple rules to decompose the correlation function into basic elements are obtained. A gauge transformation known as the integration by parts technique can be used to reduce the number of independent terms before integration over proper-time variables. The surface terms can be omitted provided the external scalars are on shell. Also, we clarify correspondence to the conventional Feynman rule, which enabled us to avoid any ambiguity coming from the infinite dimensionality of the path-integral approach. \textcopyright 1996 The American Physical Society.