Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD

2007/12/17 by Daniele Binosi, Joannis Papavassiliou · 5 citations
Mathematics · Physics and Astronomy · #Background field method #Black Holes and Theoretical Physics #Combinatorics #Gauge (firearms) #Gauge theory #Gluon #Invariant (physics) #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Transversality #Truncation (statistics) #hep-ph

paper · pdf · doi:10.1103/physrevd.77.061702

published as Phys.Rev.D77:061702,2008 · 9 pages, 2 figures

arxiv created 2007/12/17 · openalex publication_date 2008/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a new truncation scheme for the Schwinger-Dyson equations of QCD that respects gauge invariance at any level of the dressed loop expansion. When applied to the gluon self-energy, it allows for its nonperturbative treatment without compromising the transversality of the solution, even when entire sets of diagrams (most notably the ghost loops) are omitted or treated perturbatively.

Citations

• Dynamical mass generation in continuum quantum chromodynamics
• TheSMatrix in Quantum Electrodynamics

Cited by

• Evidence of ghost suppression in gluon mass scale dynamics
• Non-trivial Backgrounds in (non-perturbative) Yang-Mills Theory by the Slavnov-Taylor Identity
• Canonical transformations and renormalization group invariance in the presence of nontrivial backgrounds
• All-order equation of the effective gluon mass
• Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass

Related

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• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
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• Towards a self-consistent solution of the Landau gauge quark-gluon vertex Dyson-Schwinger equation
• QCD's equation of state from Dyson-Schwinger equations