1992/11/30 by V. Ya. Fainberg, V.Ya. Fainberg, M. A. Soloviev · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1007/bf01016400
published as Theor.Math.Phys.93:1438-1449,1992; Teor.Mat.Fiz.93:514-528,1992 · This version is identical to the initial one whose ps and pdf files were unavailable, with few corrections of misprints
openalex publication_date 1992/12/01 · arxiv created 2002/11/22 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of support cone is introduced which replaces that of support for nonlocalizable distributions. Such support cones are proven to exist for distributions defined on the Gelfand-Shilov spaces Sβ, where 0<β<1 . This result leads to a refinement of previous generalizations of the local commutativity condition to nonlocal quantum fields. For string propagators, a new derivation of a representation similar to that of Källen-Lehmann is proposed. It is applicable to any initial and final string configurations and manifests exponential growth of spectral densities intrinsic in nonlocalizable theories.