Solving a coupled set of truncated QCD Dyson-Schwinger equations

DOI10.1016/S0010-4655(98)00045-9zbMath0940.81018arXivhep-ph/9804376OpenAlexW2047057199MaRDI QIDQ1299676

Reinhard Alkofer, Lorenz von Smekal, Andreas Hauck

Publication date: 25 October 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/9804376

zbMATH Keywords

nonlinear integral equationstruncated Dyson-Schwinger equationsconstrained iterative solutioninfrared asymptotic seriesLandau gauge QCDMandelstam approximationnonperturbative correlationspropagators of gluons and ghosts

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Strong interaction, including quantum chromodynamics (81V05) Software, source code, etc. for problems pertaining to quantum theory (81-04) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items

Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations ⋮ Running coupling constant and propagators in SU(2) Landau gauge ⋮ CrasyDSE: a framework for solving Dyson-Schwinger equations ⋮ Solving a set of truncated Dyson-Schwinger equations with a globally converging method ⋮ The infrared behaviour of QCD Green's functions. Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states ⋮ Solving coupled Dyson-Schwinger equations on a compact manifold ⋮ Solving the gluon Dyson-Schwinger equation in the Mandelstam approximation ⋮ Infrared exponents and running coupling of SU\((N)\) Yang-Mills theories

Cites Work

• Solving the gluon Dyson-Schwinger equation in the Mandelstam approximation
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