The Color Antisymmetric Ghost Propagator and One-Loop Vertex Renormalization

TL;DR

This paper calculates specific ghost triangle diagrams in QCD, revealing modifications to infrared behavior and discussing implications for color confinement and the running coupling.

Contribution

It provides new calculations of ghost triangle diagrams involving color antisymmetric ghosts, impacting the understanding of infrared QCD dynamics.

Findings

Color antisymmetric ghost contributions are significant in ghost triangle diagrams.

Infrared behavior in QCD requires modification of standard pQCD arguments.

Implications for Kugo-Ojima confinement criterion and QCD running coupling are discussed.

Abstract

The color matrix elements of the ghost triangle diagram that appears in the triple gluon vertex and the ghost-ghost-gluon triangle diagram that appears in the ghost-gluon-ghost vertex are calculated. The ghost-ghost-gluon triangle contains a loop consisting of two color diagonal ghosts and one gluon and a loop consisting of two color antisymmetric ghosts and one gluon. Consequently, the pQCD argument in the infrared region based on the one particle irreducible diagram should be modified. Implications for the Kugo-Ojima color confinement and the QCD running coupling are discussed.