Exploratory Study of the 3-Gluon Vertex on the Lattice

Abstract

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 $\beta =6.0$. 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 $\beta$ values and very high statistics.

11 pages, PostScript paper + 8 pictures wrapped in a Unix shell archive, Edinburgh U. 94/543

References in corpus (4)

• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• Running Coupling and the Lambda-Parameter from SU(3) Lattice Simulations
• A Lattice Study of the Gluon Propagator in Momentum Space
• Gluon 2- and 3-Point Correlation Functions on the Lattice

Cited by in corpus (22)

• On the infrared behavior of Landau gauge Yang-Mills theory
• The QCD Running Coupling
• Three-point vertices in Landau-gauge Yang-Mills theory
• Three-point correlation functions in Yang-Mills theory
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Propagators and running coupling from SU(2) lattice gauge theory
• Alpha_s from the non-perturbatively renormalised lattice three-gluon vertex
• Three-gluon vertex in arbitrary gauge and dimension
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Model gluon propagator and pion and rho-meson observables
• Gauge Sector Dynamics in QCD
• Further Evidence For Zero Crossing On The Three Gluon Vertex
• Infrared Behaviour of Propagators and Vertices
• Emergence of mass in the gauge sector of QCD
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Probing the tensor structure of lattice three-gluon vertex in Landau gauge
• Planar degeneracy of the three-gluon vertex
• Novel sum rules for the three-point sector of QCD
• Gluon dynamics from an ordinary differential equation
• Gluon mass scale through the Schwinger mechanism
• Gluon correlation functions from lattice quantum chromodynamics
• Non-Perturbative Renormalization in Lattice Field Theory