Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results
By D. Dudal, J. Gracey, S. P. Sorella, Nele Vandersickel, H. Verschelde. 2008
396 citations recorded by the source corpus.
Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results which are in qualitative agreement with these lattice data within the Gribov-Zwanziger framework. This framework allows one to take into account effects related to the existence of gauge copies, by restricting the domain of integration in the path integral to the Gribov region. We elaborate to great extent on a previous short paper by presenting additional results, also confirmed by the numerical simulations. A detailed discussion on the soft breaking of the Becchi-Rouet-Stora-Tyutin symmetry arising in the Gribov-Zwanziger approach is provided.
View Paper: https://www.semanticscholar.org/paper/4a2eeacf5d4c5eceb5a03ef1b32abdfbe3b6a7f2
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- A. Deur
- Markus Q. Huber
- S. Brodsky
- Guy F. de Téramond
- Nele Vandersickel
- Philippe Boucaud
- C. Fischer
- Daniele Binosi
Citations in the corpus
- The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, background): “This approach has been subsequently refined and developed by Zwanziger himself [39] and other authors [40–43].”
- Nonperturbative properties of Yang–Mills theories (2018, background): “Soon after these lattice results, solutions with this behavior were also found with other methods [53, 85, 282, 353–355].”
- Pinch Technique: Theory and Applications (2009, result): “It is worth emphasizing that this behavior has also been confirmed within the Gribov-Zwanziger formalism [203].”
- The Gribov problem and QCD dynamics (2012, background): “We can demonstrate this as follows, see [39].”
- 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].”