Non-perturbative propagators and dimension 2 condensate in Yang-Mills theory

TL;DR

This paper derives ultraviolet asymptotic solutions for gluon and ghost propagators in Yang-Mills theory, revealing a non-perturbative $1/p^2$ correction consistent with a dimension two condensate, combining perturbative and non-perturbative effects.

Contribution

It provides the first explicit ultraviolet solutions of Schwinger-Dyson equations that incorporate both perturbative logarithmic and non-perturbative power corrections, indicating a dimension two condensate.

Findings

Ultraviolet asymptotic solutions include both logarithmic and power corrections.

The power correction matches the leading OPE result, supporting the existence of a dimension two condensate.

The approach unifies perturbative and non-perturbative aspects of gluon and ghost propagators.

Abstract

We have found ultraviolet asymptotic slutions of the Schwinger-Dyson equation for the gluon and ghost propagators which have simultaneously the perturbative logarithmic correction and the non-perturbative $1/p^2$ power correction. By including the perturbative corrections, the power correction reproduces exactly the leading OPE result suggesting the existence of dimension two condensate.