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

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

2008-03-12

arxiv.org/abs/0803.1798v2

Phys.Rev.D77:094510,2008

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.77.094510

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.

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