Solving a coupled set of truncated QCD Dyson—Schwinger equations

Published: 01-08-1998| Version 1 | DOI: 10.17632/8sybbyyvtg.1
A. Hauck,
L. von Smekal,
R. Alkofer


Abstract Truncated Dyson-Schwinger equations represent finite subsets of the equations of motion for Green's functions. Solutions to these nonlinear integral equations can account for nonperturbative correlations. A closed set of coupled Dyson-Schwinger equations for the propagators of gluons and ghosts in Landau gauge QCD is obtained by neglecting all contributions from irreducible 4-point correlations and by implementing the Slavnov-Taylor identities for the 3-point vertex functions. We solve this c... Title of program: gluonghost Catalogue Id: ADIH_v1_0 Nature of problem One non-perturbative approach to non-Abelian gauge theories is to investigate their Dyson-Schwinger equations in suitable truncation schemes. For the pure gauge theory, i.e., for gluons and ghosts in Landau gauge QCD without quarks, such a scheme is derived in Ref. [1]. In numerical solutions one generally encounters non-linear, infrared singular sets of coupled integral equations. Versions of this program held in the CPC repository in Mendeley Data ADIH_v1_0; gluonghost; 10.1016/S0010-4655(98)00045-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)