General kinematics of the three-gluon vertex from quenched lattice QCD

TL;DR

This paper provides new lattice QCD results for the three-gluon vertex, analyzing its behavior in the bisectoral kinematic case and highlighting the dominance of the tree-level tensor form-factor.

Contribution

It offers a detailed lattice QCD analysis of the three-gluon vertex in a new kinematic configuration, expanding beyond previous symmetric and soft-gluon cases.

Findings

Tree-level tensor form-factor dominates the vertex.

Dependence on momenta expressed via symmetric combination s^2.

Clear dominance observed in lattice data.

Abstract

We present new results for the transversely projected three-gluon vertex from quenched lattice QCD simulations using standard Wilson action. While previous works focused in some particular kinematics such as the symmetric $(q^2 = r^2 = p^2)$ and soft-gluon $(p = 0)$ cases, here we will present a detailed analysis of the bisectoral case $(r^2 = q^2 \ne p^2)$ where the transversely projected vertex can be cast in terms of three independent tensors. The lattice data show a clear dominance of the form-factor corresponding to the tree-level tensor, whose dependence on the momenta can be almost entirely expressed in terms of the symmetric combination of the momenta $s^2=(q^2+r^2+p^2)/2$.