Power corrections to symmetric point vertices in Gribov-Zwanziger theory

TL;DR

This paper investigates how the Gribov mass and related modifications affect the 3-point vertices in QCD at the symmetric point, providing insights into non-perturbative effects and mass corrections.

Contribution

It introduces a systematic expansion of QCD vertices in the presence of the Gribov mass and compares different mass modifications within the Gribov-Zwanziger framework.

Findings

Leading corrections are of order gamma^2 up to dimension four.

Extensions with localizing ghost masses are analyzed.

Comparison with a pure gluon mass term is provided.

Abstract

The 3-point vertices of QCD are examined at the symmetric subtraction point at one loop in the Landau gauge in the presence of the Gribov mass, gamma. They are expanded in powers of gamma^2 up to dimension four in order to determine the order of the leading correction. As well as analysing the pure Gribov-Zwanziger Lagrangian, its extensions to include localizing ghost masses are also examined. For comparison a pure gluon mass term is also considered.