The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2

TL;DR

This paper explores the non-perturbative existence of a dimension 2 condensate in Yang-Mills theory, demonstrating through two-loop calculations that a non-zero value is energetically favored, indicating a potential ground state property.

Contribution

It introduces a renormalisable effective potential for the A_mu^2 condensate and provides two-loop evidence of its non-zero non-perturbative value in Yang-Mills theory.

Findings

Non-zero condensate is energetically favored.

Effective potential is multiplicatively renormalisable.

Supports the existence of a non-perturbative ground state.

Abstract

We investigate the possibility that the dimension 2 condensate A_mu^2 has a non zero non-perturbative value in Yang-Mills theory. We introduce a multiplicatively renormalisable effective potential for this condensate and show through two loop calculations that a non zero condensate is energetically favoured.