caa a22 4500 465800920 CHVBK 20180323112052.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01294116 doi (NATIONALLICENCE)springer-10.1007/BF01294116 A nonperturbative solution to the Dyson-Schwinger equations of QCD [Elektronische Daten] I. Nonperturbative vertices and a mechanism for their self consistency [U. Häbel, R. Könning, H. Reusch, M. Stingl, S. Wigard] This is the first of two papers in which we discuss a nonperturbatively modified solution to the Euclidean Dyson-Schwinger equations for the 7 superficially divergent proper verticesΓ of QCD. It takes the formΣ n g 2n Γ( n ) where eachΓ( n ) approaches its perturbative form at large momenta. At lower momenta, it differs from that form by an additional non-analyticg 2 dependence through a dynamical mass scaleb, proportional toΛ qcd and associated with a pole dependence on the momentum invariants. In the zeroth-order two-point functions, these nonperturbative modifications amount to a generalized Schwinger mechanism, leading to propagators without particle poles. The termsΓ(0), representing the Feynman rules of the modified iterative solution, can become self-consistent in the DS equations through a mechanism of "nonperturbative logarithms” which we explain. The mechanism is tied to the presence of divergent loops, and thus represents a pure quantum effect, similar to quantum anomalies. It restricts formation of nonperturbativeΓ(0)'s to the 7 primitively divergent vertices, thus escaping the infinite nature of the DS hierarchy. In a given loop order, the self-consistency problem reduces to a finite set of algebraic equations. Springer-Verlag, 1990 11.15.Tk nationallicence 12.38Lg nationallicence Häbel U. Institut für Theoretische Physik I der Universität Münster, Germany aut Könning R. Institut für Theoretische Physik I der Universität Münster, Germany aut Reusch H. Institut für Theoretische Physik I der Universität Münster, Germany aut Stingl M. Institut für Theoretische Physik I der Universität Münster, Germany aut Wigard S. Institut für Theoretische Physik I der Universität Münster, Germany aut Zeitschrift für Physik A Atomic Nuclei Springer-Verlag 336/4(1990-12-01), 423-433 0939-7922 336:4<423 1990 336 218 https://doi.org/10.1007/BF01294116 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01294116 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Häbel U. Institut für Theoretische Physik I der Universität Münster, Germany aut NATIONALLICENCE 700 1- Könning R. Institut für Theoretische Physik I der Universität Münster, Germany aut NATIONALLICENCE 700 1- Reusch H. Institut für Theoretische Physik I der Universität Münster, Germany aut NATIONALLICENCE 700 1- Stingl M. Institut für Theoretische Physik I der Universität Münster, Germany aut NATIONALLICENCE 700 1- Wigard S. Institut für Theoretische Physik I der Universität Münster, Germany aut NATIONALLICENCE 773 0- Zeitschrift für Physik A Atomic Nuclei Springer-Verlag 336/4(1990-12-01), 423-433 0939-7922 336:4<423 1990 336 218 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 465800882 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer