quantum field theory - reference for wick product

The following article by E. R. Negrin provides the required formula for the antisymmetric Fock space
in the corollary on page 3644.

I want to point out that the Wick products (for the antisymmetric Fock space) can be constructed from a Gaussian generating function
which is Gaussian in (real) Grassmann variables, which is given for the case presented in the question by:

$G(mathbf{xi}) = exp((Sigma_{i=0}^{2k} xi_i f_i, Sigma_{j=0}^{2k} xi_j f_j))$

where $( , )$ denotes the Hilbert sapce $H_mathbb{C}$ inner product.

The required Wick product is obtained as the coefficient of $xi_1 xi_2 . . .xi_{2k}$.