  We present an analysis of two-current correlations for the pion in the
Nambu--Jona-Lasinio model, with Pauli--Villars regularization. We provide
explicit expressions in momentum space for two-current correlations
corresponding to the zeroth component of the vector Dirac bilinear in the quark
vertices, which has been evaluated on the lattice. The numerical results show a
remarkable qualitative agreement with recent lattice data. The factorization
approximation into one-body currents is discussed.
