Theory and phenomenology of the three-gluon vertex

TL;DR

This paper reviews the theoretical properties and phenomenological relevance of the three-gluon vertex in QCD, highlighting its infrared behavior and zero crossing as key features derived from functional methods and lattice simulations.

Contribution

It provides a comprehensive analysis of the three-gluon vertex in Landau gauge, emphasizing its nonperturbative features and phenomenological applications, integrating functional and lattice approaches.

Findings

Infrared suppression of the vertex form factors

Zero crossing in the three-gluon vertex

Phenomenological applications requiring this vertex as input

Abstract

The three-gluon vertex is a fundamental ingredient of the intricate QCD dynamics, being inextricably connected to key nonperturbative phenomena, such as the emergence of a mass scale in the gauge sector of the theory. In this presentation, we review the main theoretical properties of the three-gluon vertex in the Landau gauge, obtained from the fruitful synergy between functional methods and lattice simulations. We pay particular attention to the manifestation and origin of the infrared suppression of its main form factors and the associated zero crossing. In addition, we discuss certain characteristic phenomenological applications that require this special vertex as input.