How to explicitly introduce the Jaffe-Witten mass gap into the quantum Yang-Mills theory

Abstract

We propose how to explicitly introduce the Jaffe-Witten mass gap into the quantum Yang-Mills theory. Through the full gluon propagator it is defined as such nonperturbative scale that when it formally goes to zero, then the perturbative phase survives in the theory only. The close link between mass gap and strong infrared singularities which are due to dominated in the QCD vacuum self-interaction of massless gluons is also discussed. This interaction leads thus to the zero momentum modes enhancement effect in the QCD nonperturbative vacuum. Using theory of distributions, we argue that strong nonperturbative infrared singularities can be put under control. A new, intrinsically nonperturbative phase in QCD is established.