Questions about ghosts

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Hey guys,

I have a question about how to incorporate ghosts in practical calculations. So, from what I understand I have to add a factor of -1 for each closed gluon loop, right? But there are two ghost fields, c and \bar{c} appearing when I quantize the path integral. Does that mean that I also have in principle TWO ghost diagrams for each closed, say, gluon loop?

An example: Let's look at the two-point, 1-loop scattering in pure Yang-Mills. I will only have gluon content, so my guess for the diagrams would be:

physical1-loop = "1-loop all gluon"-"1-loop c-ghost"-"1-loop-\bar{c}-ghost".

Is that correct? I can find a clear explanation...

Thanks!
 

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fzero
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There's only one diagram with ghosts running in the loop. The ghost propagator takes a [tex]c[/tex] ghost to a [tex]\bar{c}[/tex], while the vertex is gluon-[tex]c[/tex]-[tex]\bar{c}[/tex]. You can never have a [tex]c[/tex] or [tex]\bar{c}[/tex] running in a loop independently.
 

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