More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
arXiv:2006.08248 · doi:10.21468/SciPostPhysCore.5.2.019
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.
arXiv comment19 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 (32)
- SU(N) gauge theories in 2+1 dimensions
- Landau gauge Yang-Mills correlation functions
- Gauge bosons at zero and finite temperature
- Three-point vertices in Landau-gauge Yang-Mills theory
- Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
- The three-gluon vertex in Landau gauge
- Gluonic three-point correlations in pure Landau gauge QCD
- Three-point correlation functions in 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
- Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
- 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
- Correlation functions of three-dimensional Yang-Mills theory from the FRG
- Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
- Nonperturbative Ball-Chiu construction of the three-gluon vertex
- Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
- Infrared facets of the three-gluon vertex
- Infrared exponents and the strong-coupling limit in lattice Landau gauge
- The ghost-gluon vertex in the presence of the Gribov horizon
- Probing the tensor structure of lattice three-gluon vertex in Landau gauge
- Some more details of minimal-Landau-gauge Yang-Mills propagators
- Constraining the gauge-fixed Lagrangian in minimal Landau gauge
- Exploratory study of the off-shell properties of the weak vector bosons
- Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
- QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
- 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