On the IR behaviour of the Landau-gauge ghost propagator
By Philippe Boucaud, J. Leroy, A. Yaouanc, Jacques Micheli, Olivier Pène, J. Rodríguez-Quintero. 2008
179 citations recorded by the source corpus.
We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE) in the deep IR regime and prove that a finite ghost dressing function at vanishing momentum is an alternative solution (solution II) to the usually assumed divergent one (solution I). We furthermore find that the Slavnov-Taylor identities discriminate between these two classes of solutions and strongly support the solution II. The latter turns out to be also preferred by lattice simulations within numerical uncertainties.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b5b025798ee2f5e941440f4722d7baac50d133fa
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In Artificial Intelligence
- C. Fischer
- J. Papavassiliou
- Daniele Binosi
- Erik Panzer
- S. Stieberger
- L. Dixon
- Markus Q. Huber
- B. Jantzen
In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
- C. Fischer
- J. Papavassiliou
- Daniele Binosi
- D. Zwanziger
- Nele Vandersickel
- Erik Panzer
- S. Stieberger
- L. Dixon
Citations in the corpus
- 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 Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, background): “[26; 27; 177], and the prescription applied to the ghost propagator in eq.”
- The Gribov problem and QCD dynamics (2012, background): “The group is extended from U(1) to SU(2) and, for QCD, SU(3), but these theories embody the geometrical gauge character introduced by Weyl.”
- Pinch Technique: Theory and Applications (2009, background): “The absence of power-law enhancement has also been verified in alternative SDE studies [225].”