Gluon coupling strength in H_QCD with small cutoffs

TL;DR

This paper calculates the running triple-gluon-vertex coupling constant in light-front QCD using third-order perturbation theory, exploring its dependence on a finite cutoff parameter across a wide energy range.

Contribution

It introduces a method to compute the gluon coupling constant in Hamiltonian light-front QCD with a finite cutoff, extending understanding of its scale dependence.

Findings

The coupling constant g_lambda varies with the cutoff lambda.

The calculation covers lambda from 100 GeV to 100 MeV.

Provides insights into gluon interactions at different energy scales.

Abstract

This contribution presents the running triple-gluon-vertex coupling constant, g_lambda, in Hamiltonians for the gluons that are characterized by the size 1/lambda. The coupling constant is obtained from renormalization group equations for effective particles in canonical light-front QCD in third order perturbation theory. lambda plays the role of a finite cutoff parameter and is varied from 100 Gev down to 100 MeV.