I The classical concept of work in a QCD context?

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The discussion centers on the applicability of classical concepts of work in the context of Quantum Chromodynamics (QCD). It argues that the repulsion of mutual color charge and the attraction of three different color charges do not align with classical definitions of work, such as W=Fd. Participants emphasize that classical concepts are often inadequate in the quantum realm, where quantum mechanics should be the primary framework. Misunderstandings about color charge are also highlighted, suggesting that treating color charges as physical entities can lead to confusion. Ultimately, the consensus is that classical work concepts do not translate effectively to QCD phenomena.
walkeraj
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Question: Is it meaningful to think of the repulsion of mutual color charge and the attraction of three different color charge in QCD as being indicative of the classical concept of work taking place?

Exactly, how is this explained in the context of three charges needed to elicit the attraction, or in other words the attractive motion of three quarks?
 
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Classical concepts are seldom useful in the quantum domain. Yes, you can stretch them to try and make things sort of fit together, but you really want to be using quantum mechanics.

If you think "red" and "anti-red" are physical things, you probably also misunderstand how color works.
 
walkeraj said:
Question: Is it meaningful to think of the repulsion of mutual color charge and the attraction of three different color charge in QCD as being indicative of the classical concept of work taking place?
If by the “classical concept of work” you mean the ##W## in ##W=Fd##, no. There's nothing analogous to the classical concepts of distance or force here, so no way of applying that classical definition of work.
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...