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Observation of a fixed amplitude singularity for g2=0

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Abstract

A difference of renormalized meson theories from electrodynamics and unrenormalized theories is that there is still a completely open question as to a fixed singularity at the point g2=0, in which g is a physical constant of the field coupling. Two experimental methods of solving this problem are considered: the Mittag-Löffler method and a method based on suitable analytic extension into the complex n-plane for the coefficient function Un (s, t) for the n-th term of the perturbation series for the amplitude.

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Authors and Affiliations

  1. Uzhgorod State University, USSR

    Yu. M. Lomsadze & S. S. Tokar

Authors
  1. Yu. M. Lomsadze
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  2. S. S. Tokar
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Additional information

An address at the Fall School of the Sixth All-Union Conference on the Theory of Elementary Particles (Uzhgorod, 15 October 1965).

We are indebted to E. V0 Tovtin and E. E. Kon-trosh for discussions.

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Lomsadze, Y.M., Tokar, S.S. Observation of a fixed amplitude singularity for g2=0. Soviet Physics Journal 10, 28–30 (1967). https://doi.org/10.1007/BF01649471

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