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

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.

Authors:
 [1]
  1. National Research Center Kurchatov Institute, Institute for High Energy Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22472286
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 78; Journal Issue: 3; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMPTOTIC SOLUTIONS; COUPLING CONSTANTS; EUCLIDEAN SPACE; PROPAGATOR; SCALAR FIELDS; SCHWINGER FUNCTIONAL EQUATIONS; STRONG-COUPLING MODEL

Citation Formats

Rochev, V. E., E-mail: vladimir.rochev@ihep.ru. System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region. United States: N. p., 2015. Web. doi:10.1134/S1063778815020258.
Rochev, V. E., E-mail: vladimir.rochev@ihep.ru. System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region. United States. doi:10.1134/S1063778815020258.
Rochev, V. E., E-mail: vladimir.rochev@ihep.ru. Fri . "System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region". United States. doi:10.1134/S1063778815020258.
@article{osti_22472286,
title = {System of Schwinger-Dyson equations and asymptotic behavior in the Euclidean region},
author = {Rochev, V. E., E-mail: vladimir.rochev@ihep.ru},
abstractNote = {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.},
doi = {10.1134/S1063778815020258},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 3,
volume = 78,
place = {United States},
year = {2015},
month = {5}
}