Further Evidence For Zero Crossing On The Three Gluon Vertex

Abstract

The three gluon one particle irreducible function is investigated using lattice QCD simulations over a large region of momentum in the Landau gauge for four dimensional pure Yang-Mills equations and the SU(3) gauge group. The results favor a zero crossing of the gluon form factor for momenta in the range $220-260$ MeV. This zero crossing is required to happen in order to have a properly defined set of Dyson-Schwinger equations. It is also shown that in the high momentum region the lattice results are compatible with the predictions of renormalisation group improved perturbation theory.

8 pages, 6 figures

References in corpus (6)

• 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
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
• Nonperturbative study of the four gluon vertex

Cited by in corpus (22)

• Gauge Sector Dynamics in QCD
• QCD Running Couplings and Effective Charges
• Emergent Hadron Mass in Strong Dynamics
• Schwinger mechanism in linear covariant gauges
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Ghost dynamics in the soft gluon limit
• Emergence of mass in the gauge sector of QCD
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Non-perturbative strong coupling at timelike momenta
• Planar degeneracy of the three-gluon vertex
• 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
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Gluon correlation functions from lattice quantum chromodynamics
• Three-gluon vertex in Landau-gauge from quenched-lattice QCD in general kinematics
• Patterns of gauge symmetry in the background field method
• Ghost dynamics from Schwinger-Dyson equations
• Another look at the Landau gauge three-gluon vertex
• Landau gauge gluon vertices from Lattice QCD