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

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
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 78; Journal Issue: 3; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
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