2017/06/30 by Hui-Feng Fu, Qing Wang, Libo Jiang
Mathematics · Physics and Astronomy · #Bethe–Salpeter equation #Combinatorics #Gluon #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Statistics #Truncation (statistics) #Vertex (graph theory) #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.96.094023
published as Phys. Rev. D 96, 094023 (2017) · 19 pages, 2 figures
openalex created_date 2017/06/23 · arxiv created 2017/10/12 · openalex publication_date 2017/11/28 · arxiv updated 2017/12/06 · openalex updated_date 2026/08/05
We develop a framework for deriving Dyson-Schwinger equations (DSEs) and the Bethe-Salpeter equation (BSE) in QCD at the large Nc limit. The starting point is a modified form (with auxiliary fields) of the QCD generating functional. This framework provides a natural order-by-order truncation scheme for DSEs and the BSE, and the kernels of the equations up to any order are explicitly given. Chiral symmetry (at the chiral limit) is preserved in any-order truncation, so it exemplifies the symmetry preserving truncation scheme. It provides a method to study DSEs and BSE beyond the rainbow-ladder truncation and is especially useful to study contributions from non-Abelian dynamics (those arising from gluon self-interactions). We also derive the equation for the quark-ghost scattering kernel and discuss the Slavnov-Taylor identity connecting the quark-gluon vertex, the quark propagator, and the quark-ghost scattering kernel.