Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations

By A. C. Aguilar, Daniele Binosi, J. Papavassiliou. 2008

350 citations recorded by the source corpus.

We show that the application of a novel gauge-invariant truncation scheme to the Schwinger-Dyson equations of QCD leads, in the Landau gauge, to an infrared finite gluon propagator and a divergent ghost propagator, in qualitative agreement with recent lattice data.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/85deed4d2d0804e387a94a2d870728396fb05c78

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In Nuclear and High Energy Physics

Citations in the corpus

Pinch Technique: Theory and Applications (2009, methodology): “These discrepancies may be accounted for by extending the gluon SDE to include the “two-loop dressed” graphs, omitted (gauge-invariantly) from the original analysis presented in [224], and/or by supplying to the vertex given in (9.”
Nonlinear QCD meets data: A global analysis of lepton-proton scattering with running coupling Balitsky-Kovchegov evolution (2009, background): “[67,68] and references therein) indicate that the strong coupling freezes to a constant value, αfr, in the IR.”
Nonperturbative properties of Yang–Mills theories (2018, result): “Soon after these lattice results, solutions with this behavior were also found with other methods [53, 85, 282, 353–355].”
The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, methodology): “Furthermore, lattice data can also be very well accommodated within DS coupled equations in the PT-BFM scheme [19; 20] and within the so-called refined Gribov-Zwanziger approach [42], leading in both cases to decoupling solutions for gluon and ghost propagators.”
QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, methodology): “Whereas the scaling solution consists of infrared power laws for all Green’s functions with an infrared vanishing gluon propagator and an infrared divergent ghost, the decoupling solution [305, 318–321] is characterized by an infrared finite gluon propagator and a finite ghost dressing function.”
The nonperturbative functional renormalization group and its applications (2020, neutral): “[657, 722, 725–727, 730, 735–750] and references therein.”
The QCD running coupling (2016, methodology): “Although it was first found on the lattice, the decoupling solution is also present in the SDE calculations [255, 265, 267, 268, 269], the pinch technique background field method [270], an extended Gribov–Zwanziger approach [271, 272], and from the stochastic quantization equations [273].”