QCD Confinement: Energy of Quark & Momentum Transfer

[Hluf]

Hello to all
When we study the Confinement of QCD, the coupling strength increases as the momentum transfer decreases (i.e, p→0) and the coupling strength decreases as the momentum transfer increases (i.e, p→∞). My question is: can we say ω =m; where ω is the energy which is given as ω²=m²+vec\q² and m is the mass of the quark.
Thank you all

 

[tom.stoer]

Which equation for the coupling constant $\alpha_S(q^2)$ do you have in mind?

Please note that the usual expressions for the running coupling constant are derived via perturbation theory which breaks down in the IR; therefore one cannot use this running coupling constant to study confinement.

Perhaps you have something different in mind?

 

[Einj]

Could you clarify what should be the relation between confinement and the equation for the energy? I don't really understand the question.