On the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories

Abstract

We review our recent work on the gauge-invariant non-local dimension-two operator $A_{\min }^2$, whose minimization is defined along the gauge orbit. Albeit non-local, the operator $A_{\min }^2$ can be cast in local form through the introduction of an auxiliary Stueckelberg field. The whole procedure results into a local action which turns out to be renormalizable to all orders.

Comments: 5 pages. Contribution to the proceedings of the 19th International Conference in Quantum Chromodynamics (QCD 16), 4 July - 8 July 2016, Montpellier, France