Consistent power corrections to ultraviolet asymptotic solutions in Yang-Mills theory

TL;DR

This paper demonstrates that $1/p^2$ power corrections are consistent with ultraviolet solutions in Yang-Mills theory, supporting the existence of a dimension-2 gluon condensate, aligning with OPE and lattice findings.

Contribution

It shows that $1/p^2$ power corrections can be incorporated into ultraviolet solutions of the Schwinger-Dyson equations, confirming the presence of a dimension-2 gluon condensate.

Findings

Power corrections are consistent with the ultraviolet asymptotic solutions.

Supports the existence of the $<A_^2>$ condensate.

Aligns with operator product expansion and lattice results.

Abstract

We show that the $1/p^2$ power corrections to the ultraviolet asymptotic solutions are allowed as consistent solutions of the coupled Schwinger-Dyson equation for the gluon and (Faddeev-Popov) ghost propagators in Yang-Mills theory. This result supports the existence of the vacuum condensate $<A_\mu^2>$ with mass dimension 2, as recently suggested by the operator product expansion and lattice simulations. We compare the solution with the result of operator product expansion.