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System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region

  • Elementary Particles and Fields
  • Theory
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Abstract

A system of Schwinger-Dyson equations for the model of scalar-field interaction is studied in a deep Euclidean region. It is shown that there exists a critical coupling constant that separates the weak-coupling region characterized by the asymptotically free behavior and the strong-coupling region, where the asymptotic behavior of field propagators becomes ultralocal.

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Authors and Affiliations

  1. Institute for High Energy Physics, National Research Center Kurchatov Institute, Protvino, Moscow oblast, 142281, Russia

    V. E. Rochev

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  1. V. E. Rochev
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Correspondence to V. E. Rochev.

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Original Russian Text © V.E. Rochev, 2015, published in Yadernaya Fizika, 2015, Vol. 78, No. 5, pp. 475–478.

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Rochev, V.E. System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region. Phys. Atom. Nuclei 78, 443–446 (2015). https://doi.org/10.1134/S1063778815020258

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  • DOI: https://doi.org/10.1134/S1063778815020258

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