Abstract:
A survey is given of the application of Tauberian theory to problems of quantum field theory. In particular, the question of the self-similar asymptotics of the form factors of electron-nucleon scattering and its connection with the singular structure of the commutators of electromagnetic currents in a neighborhood of the light cone is considered in detail.
Citation:
V. S. Vladimirov, B. I. Zav'yalov, “Tauberian theorems in quantum field theory”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 15, VINITI, Moscow, 1980, 95–130; J. Soviet Math., 16:6 (1981), 1487–1509
\Bibitem{VlaZav80}
\by V.~S.~Vladimirov, B.~I.~Zav'yalov
\paper Tauberian theorems in quantum field theory
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1980
\vol 15
\pages 95--130
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd42}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=578991}
\zmath{https://zbmath.org/?q=an:0459.46048|0434.46053}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 16
\issue 6
\pages 1487--1509
\crossref{https://doi.org/10.1007/BF01091711}
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https://www.mathnet.ru/eng/intd42
https://www.mathnet.ru/eng/intd/v15/p95
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