QCD Confinement: Energy of Quark & Momentum Transfer

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The discussion centers on Quantum Chromodynamics (QCD) confinement, specifically the relationship between coupling strength and momentum transfer. It is established that the coupling strength increases as momentum transfer approaches zero and decreases as momentum transfer approaches infinity. The participant questions the validity of the equation ω = m, where ω represents energy and m denotes quark mass, in the context of confinement. Additionally, it is noted that traditional expressions for the running coupling constant α_S(q^2) derived from perturbation theory are inadequate for studying confinement due to their breakdown in the infrared (IR) regime.

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

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