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.
Cite
@article{arxiv.0803.1798,
title = {Three-point vertices in Landau-gauge Yang-Mills theory},
author = {Attilio Cucchieri and Axel Maas and Tereza Mendes},
journal= {arXiv preprint arXiv:0803.1798},
year = {2008}
}
Comments
9 pages, 6 figures; minor modifications and references added, version to appear in PRD