Non-perturbative aspects of Yang-Mills theories

TL;DR

This paper analytically explores nonperturbative features of four-dimensional Euclidean Yang-Mills theories, focusing on gluon mass generation, condensates, and Gribov ambiguities in various gauges.

Contribution

It provides a detailed analysis of dynamical gluon mass generation and Gribov ambiguities using local composite operator and Gribov-Zwanziger frameworks.

Findings

Gluons acquire a dynamical mass due to dimension two condensates.

The Gribov problem is examined in linear covariant gauges.

Insights into nonperturbative structure of Yang-Mills theories.

Abstract

Some nonperturbative aspects of Euclidean Yang-Mills theories in four dimensions, quantized in the Landau gauge, are analytically studied. In particular, we investigate the dynamical mass generation for the gluons due to the presence of dimension two condensates. This study is performed in the framework of the local composite operator technique in the case of the Yang-Mills action as well as in the case of the Gribov-Zwanziger action. Further, an investigation of the Gribov ambiguities in the linear covariant gauges is presented.