REMARK ON THE CONSISTENCY OF THE LADDER APPROXIMATION AND THE RAINBOW APPROXIMATION OF DYSON–SCHWINGER EQUATIONS OF QCD

2006/10/14 by Lei Chang, Yu-xin Liu, Yu‐xin Liu
Physics and Astronomy · #Black Holes and Theoretical Physics #Consistency (knowledge bases) #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Rainbow #Theoretical physics #hep-ph

paper · pdf · doi:10.1142/s0217751x08039645

published as Int.J.Mod.Phys.A23:1711-1717,2008 · 7 pages

arxiv created 2006/10/14 · openalex publication_date 2008/04/30 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the consistency of the ladder approximation and the rainbow approximation of the Dyson–Schwinger equations of QCD. By considering the non-Abelian property of QCD, we show that the QED-type Ward–Takahashi identity is not required for the rainbow–ladder approximation of QCD. It indicates that there does not exist any internal inconsistency in the usual rainbow–ladder approximation of QCD. In addition, we propose a modified ladder approximation which guarantees the Slavnov–Taylor identity for the quark–gluon vertex omitting the ghost effect in the approximation.

Citations

• Studying unquenching effects in QCD with Dyson-Schwinger equations
• Density dependence of nucleon bag constant, radius and mass in an effective field theory model of QCD
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Deconfinement at finite chemical potential
• Confinement phenomenology in the Bethe-Salpeter equation
• Dyson-Schwinger equations and their application to hadronic physics