More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions

Abstract

The three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches. We present an updated lattice calculation of it in various kinematical configurations for all tensor structures and multiple lattice parameters in three dimensions, and in a subset of those in four dimensions, for SU(2) Yang-Mills theory in minimal Landau gauge. In three dimensions an unambiguous zero crossing for the tree-level form-factor is established, and consistency for all investigated form factors with a power-like divergence towards the infrared is observed. Using very coarse lattices this is even seen towards momenta as low as about 15 MeV. The results in four dimensions are consistent with such a behavior, but do not yet reach deep enough into the infrared to establish it.

19 pages, 9 figures, 1 table; v2: References added and typos fixed; v3: Substantially extended data basis in 3d, almost the same conclusions, additional fit type

References in corpus (13)

• Three-point vertices in Landau-gauge Yang-Mills theory
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• On the zero crossing of the three-gluon vertex
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Correlation functions of Landau gauge Yang-Mills theory
• A Dyson-Schwinger study of the four-gluon vertex
• Gluon propagator and three-gluon vertex with dynamical quarks
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Further Evidence For Zero Crossing On The Three Gluon Vertex
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Infrared facets of the three-gluon vertex
• Propagators and topology
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge

Cited by in corpus (6)

• Gauge Sector Dynamics in QCD
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Gluon mass scale through the Schwinger mechanism
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Gluon correlation functions from lattice quantum chromodynamics