multiple "colors" of Weak Force charge ?

[Widdekind]

When quarks interact, via the Strong Force, the exchanged gluon changes the "colors" of both quarks. Seemingly, an initially "red" quark, "exudes" its "red-ness", into a gluon, which the other quark absorbs, so becoming "red".

 

Now, when particles interact, via the Weak Force, the exchanged W boson changes the "charges" of both particles. So, an initially "negative" electron, "extrudes" its "negative-ness", into a W-boson, which the other neutrino absorbs, so becoming "negative". So, is there an additional "Weak Color" that also changes?

 

Note, the Weak Force, like the Strong Force, is a short-ranged force, modeled mathematically as a "non-Abelian gauge field" (Nambu. Quark). Does that imply, that the Weak Force grows with distance; or evidences asymptotic freedom & infra-red-slavery; or that W/Z bosons can generate other W/Z bosons, i.e. is "EM glue" ?

Edited January 8, 2012 by Widdekind

[mathematic]

The weak force as a function of distance is nothing like the strong force. Look at chart in the following:

 

http://en.wikipedia.org/wiki/Fundamental_interaction

[Widdekind]

If the 'Weak Hyper-Charges', of the fundamental quanta, are [math]Y_W \equiv 2 ( Q - T_3 )[/math], then apparently, if only for left-handed fermions:

 

[math]Y_{W,u} = 1/3[/math]

[math]Y_{W,d} = 1/3[/math]

 

[math]Y_{W,\nu} = -1[/math]

[math]Y_{W,e} = -1[/math]

So, apparently, all (left-handed) quarks interact Weakly, with a "Weak Charge", of 1/3. And, all leptons interact Weakly, with a "Weak Charge" of -1. For example, neutrinos carry the same Weak Charge as electrons, but carry no EM Charge.

 

Now, if, in the EM & Strong interactions, "like repels like" whilst "opposites attract"; then does that imply, that quarks repel themselves Weakly, and leptons repel themselves Weakly, but quarks attract leptons Weakly ??

 

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For right-handed fermions, [math]T = 0[/math]. So, the 'Weak Hyper-Charges', of those fundamental quanta, would be [math]Y_W \equiv 2 ( Q - T_3 ) = 2 Q[/math]:

 

[math]Y_{W,u} = 4/3[/math]

[math]Y_{W,d} = -2/3[/math]

 

[math]Y_{W,\nu} = 0[/math]

[math]Y_{W,e} = -2[/math]

But, right-handed fermions, having no "weak isospin", "do not undergo weak interactions", implying that their effective [math]Y_W = 0[/math]. Since [math]Y_W[/math] is conserved in all reactions, i.e. is a "good quantum number", then when left-handed fermions enter into Weak interactions, they must emerge from those interactions left-handed, e.g. neutrinos which approach an interaction left-handed, i.e. spin directed anti-parallel to momentum, they must not "spin flip" upon absorbing or emitting Weak bosons; or, at least if they do "spin flip", to account for the S=1 of the W-bosons, then their momenta must also change direction too. Does this mean, that when a neutrino approaches a down quark, that the emission of a W- boson from the latter, to the former, reverses both of their spins (to account for the emission / absorption, of an S=1 quanta), and so reverses both of their momenta as well (to preserve the left-handed, anti-parallel, relation, between spin & momenta) ????????????????

 

[math]\left( \downarrow \nu_e \right) \rightarrow \leftarrow \left( d \uparrow \right)[/math]

 

[math]\left( \downarrow \nu_e \right) \rightarrow \leftarrow W^{-} \; \left( \downarrow u \right) \rightarrow[/math]

 

[math]\leftarrow \left( e^{-} \uparrow \right) \; \left( \downarrow u \right) \rightarrow[/math]

I guess the exchange, of a super-massive 80 GeV Weak boson represents a large momentum transfer, so that both previously impinging particles "bounce back" from the interaction, having had both their angular momenta, and linear momenta, reversed ??

 

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Note, too, that, for all of the EW bosons, [math]T_3 = Q[/math], so that [math]Y_W = 2(Q - T_3) = 0[/math], i.e. explicitly:

 

[math]Y_{W,W^{+}} = 0[/math]

[math]Y_{W,W^{-}} = 0[/math]

 

[math]Y_{W,Z^0} = 0[/math]

[math]Y_{W,\gamma^{\;}} = 0[/math]

Does that imply, that, unlike gluons, W-bosons carry no Weak charge, and so cannot emit other W-bosons ??