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Red quark going to a red quark via an gluon emission

by Tauk-De
Tags: emission, gluon, quark
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Tauk-De
#1
Aug15-13, 09:08 PM
P: 2
Hi, I'm currently doing a course in particle physics at masters level and I have this problem:

I know that having an red:anti-red gluon isn't possible as this produces an non-zero trace for its representation, but if I have a red quark that emits a gluon and afterwards is still a red quark, what would be the possible gluon combinations/colors? is it just the two linear combinations: (R:aR - B:aB)/sqrt(2) and (R:aR + B:aB - 2G:aG)/sqrt(6) ???

Thanks in advance
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Tauk-De
#2
Aug15-13, 11:12 PM
P: 2
never mind I found out
tom.stoer
#3
Aug16-13, 12:28 AM
Sci Advisor
P: 5,464
Quote Quote by Tauk-De View Post
... if I have a red quark that emits a gluon and afterwards is still a red quark ...
That's not possible b/c the gluons living in the adjoint rep. of su(3) always change color. A process where the quark color is not affected is possible only in u(3) = su(3) + u(1) where the last u(1) term corresponds to a color-neutral force which would look like QED.

lpetrich
#4
Aug16-13, 12:31 PM
P: 533
Red quark going to a red quark via an gluon emission

In a common presentation of SU(3) operator matrices, two of them won't change color, but will give different phases to different colors.

A colorless operator would give the same phase to every color.


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