Solving the gluon Dyson—Schwinger equation in the Mandelstam approximation

Published: 01-08-1998| Version 1 | DOI: 10.17632/4332khthsj.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. We describe the solution to the Dyson—Schwinger equation for the gluon propagator of Landau gauge QCD in the Mandelstam approximation. This involves a combination of numerical and analytic methods: an asymptotic infrared expansion of the solution is calculated recursively. In the ultraviolet, ... Title of program: mandelstam Catalogue Id: ADII_v1_0 Nature of problem An approach to describing non-perturbative correlations in field theories is to investigate their Dyson-Schwinger equations in suitable truncation schemes. Thereby one generally encounters non-linear integral equations which in many cases have infrared singular solutions imposing stability problems in the numerical procedures. Versions of this program held in the CPC repository in Mendeley Data ADII_v1_0; mandelstam; 10.1016/S0010-4655(98)00046-0 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)