Three-point vertices in Landau-gauge Yang-Mills theory

Abstract

Vertices are of central importance for constructing QCD bound states out of the individual constituents of the theory, i.e. quarks and gluons. In particular, the determination of three-point vertices is crucial in non-perturbative investigations of QCD. We use numerical simulations of lattice gauge theory to obtain results for the 3-point vertices in Landau-gauge SU(2) Yang-Mills theory in three and four space-time dimensions for various kinematic configurations. In all cases considered, the ghost-gluon vertex is found to be essentially tree-level-like, while the three-gluon vertex is suppressed at intermediate momenta. For the smallest physical momenta, reachable only in three dimensions, we find that some of the three-gluon-vertex tensor structures change sign.

9 pages, 6 figures; minor modifications and references added, version to appear in PRD

References in corpus (10)

• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Quark-gluon vertex in general kinematics
• Unquenching effects in the quark and gluon propagator
• Large volume behaviour of Yang-Mills propagators
• A first look at Landau-gauge propagators in G2 Yang-Mills theory

Cited by in corpus (7)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• The Confinement Property in SU(3) Gauge Theory
• Roles of the color antisymmetric ghost propagator in the infrared QCD
• The four-gluon vertex and the running coupling in Landau gauge Yang-Mills theory