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Infrared Properties of QCD from Dyson-Schwinger equations

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arxiv hep-ph/0605173 v2 pith:HU7G4APJ submitted 2006-05-15 hep-ph hep-lathep-th

Christian S. Fischer This is my paper · ORCID
classification hep-phhep-lathep-th
keywords infraredpropertiesdyson-schwingerequationsbehaviourcouplingdynamicalexponents
verification ladder T0 review T1 audit T2 compute T3 formal
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I review recent results on the infrared properties of QCD from Dyson-Schwinger equations. The topics include infrared exponents of one-particle irreducible Green's functions, the fixed point behaviour of the running coupling at zero momentum, the pattern of dynamical quark mass generation and properties of light mesons.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 502 citations worldwide. Full citation record

  1. Scalar diquarks in the QCD vacuum

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    A first-principles FRG approach to two-flavor QCD derives low-energy constants for the pion, sigma-meson and scalar diquark without parameters beyond QCD itself, including new diquark properties for color-superconduct...

  2. FunKit: A computer algebra toolkit for functional approaches

    hep-ph 2026-05 unverdicted novelty 6.0 of 10

    FunKit is a computer algebra toolkit that automates derivation of functional equations such as Dyson-Schwinger and functional RG from arbitrary master equations, with tracing via FORM and export to numerical code.

  3. Insight on confinement from the QCD effective charge

    hep-ph 2026-07 conditional novelty 5.5 of 10

    Assigning the imaginary poles of α_g1 to parton propagators produces long-distance damping e^{-Λ_s|x|/√2}|x|^{-5/2+d_a}, interpreting confinement as Green's-function suppression.

  4. DoFun 3.0: Functional equations in Mathematica

    hep-ph 2019-08 accept novelty 4.0 of 10

    DoFun 3.0 extends the Mathematica package DoFun with automatic derivation of correlation functions of composite operators, plus workflow tools and a public GitHub repository.

  5. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

  6. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0 of 10

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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