1993/05/10 by F.V. Tkachov, Fyodor V. Tkachov · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #Material Science and Thermodynamics #Quantum and Classical Electrodynamics #hep-ph #hep-th
paper · pdf · doi:10.1142/s0217751x93000850
published as Int.J.Mod.Phys.A8:2047-2117,1993 · one .sty + one .tex (LaTeX 2.09) + one .ps (GSview) = 72 pp. Many fewer misprints than the journal version
openalex publication_date 1993/05/10 · arxiv created 1996/12/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The problem of asymptotic expansion of Green functions in perturbative QFT is studied for the class of Euclidean asymptotic regimes. Phenomenological applications are analyzed to obtain a meaningful mathematical formulation of the problem. It is shown that the problem reduces to studying asymptotic expansion of products of a class of singular functions in the sense of the distribution theory. Existence, uniqueness and explicit expressions for such expansions. (As-operation for products of singular functions) in dimensionally regularized form are obtained using the so-called extention principle.