Exploratory Study of the 3-Gluon Vertex on the Lattice
Abstract
Description
We define and evaluate on the lattice the amputated 3-gluon vertex function in momentum space.
We give numerical results for $16^3 \times 40$ and $24^3 \times 40$ quenched lattices at $β=6.0$.
A good numerical signal is obtained, at the price of enforcing the gauge-fixing condition with high accuracy.
By comparing results from two different lattice volumes, we try to investigate the crucial issue of finite volume effects.
We also outline a method for the lattice evaluation of the QCD running coupling constant as defined from the 3-gluon vertex, while being aware that a realistic calculation will require larger $β$ values and very high statistics.
11 pages, PostScript paper + 8 pictures wrapped in a Unix shell archive, Edinburgh U. 94/543
11 pages, PostScript paper + 8 pictures wrapped in a Unix shell archive, Edinburgh U. 94/543