Solving the gluon Dyson—Schwinger equation in the Mandelstam approximation

• Published in: Computer physics communications Vol. 112; no. 2; pp. 149 - 165
• Main Authors: Hauck, A., von Smekal, L., Alkofer, R.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.08.1998; Elsevier Science
• Subjects: Constrained iterative solution; Dyson—Schwinger equations; Exact sciences and technology; Function theory, analysis; Gauge bosons; Gauge field theories; General properties of qcd (dynamics, confinement, etc.); General theory of fields and particles; Gluon propagator; Gluons; Infrared asymptotic series; Integral equations; Landau gauge; Mandelstam approximation; Mathematical methods in physics; Nonlinear integral equations; Nonperturbative QCD; Other nonperturbative techniques; Physics; Properties of specific particles; Quantum chromodynamics; Specific theories and interaction models; particle systematics; The physics of elementary particles and fields; Mandelstam approximation; Nonperturbative QCD; Gluon propagator; Nonlinear integral equations; Constrained iterative solution; 11.15.Tk; Landau gauge; 02.30.Rz; 12.38.Aw; 14.70.Dj; Infrared asymptotic series; Dyson—Schwinger equations; Nonlinear equations; Landau theory; Asymptotic expansion; Gluons; Integral equations; Propagator; Theoretical study; Mandelstam representation; Green function

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 Landa...