Re: R-\xi gauge with complex generators

First of all, I would like to comment the following: You need the same
amount of ghost-antighost pairs that you have gauge symmetries, if they
are all independent ones.

Everytime you have an even number of gauge symmetries, you could just
do the following: Take the real version of the gauge fixed lagrangian
in Weinberg, and then pair the ghosts/antighosts into complex fields.

jefortin@xxxxxxxxxxx wrote:
> Hi, I would like to know how to used R-\xi gauge for complex
> generators. I looked in Weinberg and Peskin but they replace the
> complex fields \phi_i i=1,\cdots,N by a real field \phi_i,
> i=1,\cdots,2N. Keeping complex fields instead, the calculation can be
> done easily but the gauge-fixing term will be complex (of the form
> f_\alpha^\dagger f_\alpha following Weinberg). From there, to find the
> ghost Lagrangian, we must use complex ghost fields. It seems strange
> to me because I've never seen that before. Does it really imply that
> the ghost are complex ?

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