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Aug 20 at 13:00 comment added Vladimir Dear @Qmechanic, it will be good to specify what kind of Grassmann algebra is considered. I mean its dimension and topology.
Dec 24, 2017 at 18:49 comment added Blazej I accept this answer, even though the question whether convention with BRS operator taken as graded with respect to the ghost number is acceptable is still open for me. However it is not strictly speaking the question I originally asked, and it might be very dificult to give a definite answer.
Dec 24, 2017 at 18:44 vote accept Blazej
Dec 23, 2017 at 21:26 history edited Qmechanic CC BY-SA 3.0
Added explanation
Dec 23, 2017 at 20:28 comment added Blazej Dear @Qmechanic , please note that I edited my question to specify where precisely the problem arises and what led me to believing that $[c^a,\psi]=0$ (on the level of integration variables) is the consistent definition in the approach I am using.
Dec 23, 2017 at 18:01 history edited Qmechanic CC BY-SA 3.0
Added explanation
Dec 23, 2017 at 17:31 comment added Blazej Dear @Qmechanic mathematically we can have a situation where we have two indepedent Grassmann algebras, generated by $\eta_i$ and $\xi_i$, so that $ \{ \xi_i , \xi_j \} = \{ \eta_i , \eta_j \}=0$ but $[\eta_i, \xi_j]=0$. The question is whether such construction is implemented is quantum field theories.
Dec 23, 2017 at 17:01 history answered Qmechanic CC BY-SA 3.0