Condensates in the refined Gribov-Zwanziger scenario

TL;DR

This paper validates the refined Gribov-Zwanziger scenario by analytically fixing condensate values, aligning with lattice data, and providing a comprehensive understanding of the gluon propagator in Yang-Mills theory.

Contribution

It introduces a method to determine condensates analytically within the refined Gribov-Zwanziger framework, confirming its consistency with lattice results.

Findings

Gluon propagator fits lattice data well

All condensate values can be analytically fixed

The approach validates the refined Gribov-Zwanziger scenario

Abstract

Recent lattice computations showed how the approach dubbed "refined Gribov-Zwanziger scenario" is in very good agreement with data and the gluon propagator fits them very well. This propagator can be described as a finite sum of Yukawa propagators and can be obtained introducing some condensates representing the contribution of the vacuum of Yang-Mills theory. The values of the condensates are arbitrary and are obtained through lattice data. This kind of structure of the propagator is in agreement with the one we obtained using a different analytical approach but with the substantial difference that here all the physical parameters are properly fixed. We show that our approach can properly fix all the values of the condensates in the refined Gribov-Zwanziger scenario giving a complete validation to both techniques. This will provide an interesting view to the gluon propagator and a set of values to be experimentally determined.