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Nonperturbative calculation of Green and vertex functions in terms of particle contours

1996/07/08 by N. G. Stefanis, Stefanis, N. G.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9607063

LaTeX, using Worldstyle and comprising three eps files (7 pages in total). Invited talk presented at the International Conference Problems of Quantum Field Theory, May 13 - 18, 1996, Alushta, Crimea, Ukraine. To appear in the Proceedings

arxiv created 1996/07/08 · openalex publication_date 1996/07/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The infrared regime of fermionic Green and vertex functions is studied analytically within a geometric approach which simulates soft interactions by an \it effective theory of contours. Expanding the particle path integral in terms of dominant contours at large distances, all-order results in the coupling constant are obtained for the renormalized fermion propagator and a universal vertex function with physical characteristics close to those associated with the Isgur-Wise function in the weak decays of heavy mesons. The extension to the ultraviolet regime is scetched.

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