d \Theta,
\label{uno}$$ where $\lambda(\vec{x})$ and $\mu(\vec{x})$ are the Fourier transformed Grassmann fields corresponding to $\pi_{\Theta}(\vec{x})$ and $\Theta(\vec{x})$ respectively, $\pi_\Theta(\vec{x}) \cdot \lambda(\vec{x}) = \sum_{\alpha =1}^N
\pi_{\Theta \alpha}(\vec{x}) \lambda_\alpha(\vec{x})$ and the functional measure $\prod d \pi_ {\Theta }  d \Theta :=
\prod_{\vec{x},\alpha} d \pi_{\Theta \alpha}(\vec{x}) d
\Theta_\alpha(\vec{x}).$ By the analogy to quantum mechanics we can define the Weyl quantization rule as follows $$\widehat{F}= W(F[\pi_{\Theta},\Theta]) := \int
\widetilde{F}[\lambda,\mu] \  \exp\bigg\{i\int d^d x \bigg(
\widehat{\pi}_{\Theta}(\vec{x}) \cdot \lambda(\vec{x}) +
\widehat{\Theta}(\vec{x}) \cdot \mu(\vec{x}) \bigg)\bigg \} \prod
d{\lambda}  d \mu,  \label{tres}$$ with $\widehat{\pi}_{\Theta}$ and $\widehat{\Theta}$ being the field operators given by $\widehat{\pi}_{\Theta}(\vec{x})
|\pi_{\Theta}\rangle = \pi_{\Theta}(\vec{x}) |\pi_{\Theta}
\rangle$ and $\widehat{\Theta}(\vec{x}) |\Theta\rangle =
\Theta(\vec{x}) |\Theta \rangle$.

The coherent state $|\Theta \rangle$ can be defined in terms of the vacuum state $|0\rangle$ [@wein; @imelda] $$|\Theta\rangle = \exp \left\{-{i\over\hbar} \int d^d x
\widehat{\pi}_\Theta (\vec{x}) \cdot \Theta (\vec{x}) \right\} | 0
\rangle, \label{defini}$$ with $|\Theta\rangle\in {\cal F}_F$, where ${\cal F}_F= {\cal H}_F
\oplus {\cal H}_F\otimes {\cal H}_F \oplus \cdots$ is the Fock space and ${\cal H}_F$ is a Hilbert space of fermions. By using Eq. (\[defini\]) it is easy to see that the functional state satisfies the following property $$\exp \left\{-{i\over\hbar}\int d^d x \widehat{\pi}_\Theta
(\vec{x}) \xi (\vec{x}) \right\} | \Theta \rangle 