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  How to find the BRST transformation for a given infinitesimal transformation?

+ 1 like - 0 dislike

Looking for examples of BRST problems and examples I have found something like this 

Consider the following infinitesimal transformations

$$\delta_\epsilon A_\mu=\partial_\mu \varepsilon_0+[\varepsilon_0,A_\mu]$$

$$\delta_\epsilon B_\mu=[\varepsilon_0,B_\mu]+\partial_\mu \varepsilon_1+[\varepsilon_1,A_\mu]$$

Find the BRST transformations for the fields, including the transformation for the ghost (corresponding to the parameters $\varepsilon_0$, $\varepsilon_1$), the two antighost and the two Nakanishi-Lautrup fields.

So, the first transformation is the usual one for a non-abelian gauge field but the second transformation depends on $A_\mu$ also.
Is this a known model?
How I must proceed? I have tried to do $\varepsilon_a=\lambda_b C_b$ , $b=0,1$ and

$$\delta_\epsilon B_\mu=\lambda_1\delta_{BRST}B_\mu$$

Please give some reference if this is a transformation for a known lagrangian.

asked Jun 25, 2017 in Theoretical Physics by Mike [ no revision ]
recategorized Jun 25, 2017 by Dilaton

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