I've been doing some self-study in Peskin and Schroeder and been struggling a bit in Part III.(adsbygoogle = window.adsbygoogle || []).push({});

Right now, I am stuck on the last two terms in 16.6 (Lagrangian for Yang-Mills).

Presumably these come from (-1/4) (F[itex]^{a}_{\mu\nu}[/itex])^2, but I am getting stuck on getting the indices to work out.

Can anybody fill in the details?

Also, I find his reasoning a bit confusing in the paragraph below 16.7 where he justifies the terms in Figure 16.1 for some of the Feynman rules of a Non-abelian gauge theory. Any help here would also be appreciated. Perhaps working an example for the three gauge boson vertex. I am sure I can get the four-gauge vertex once I see the three-gauge clearly.

Thanks for any and all help.

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# Terms in the Yang-Mills Lagrangian

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