Mesonic correlation functions in the NJL model with vector mesons

We compute mesonic correlation functions in Euclidean coordinate space within the Nambu and Jona-Lasinio model with explicit scalar, pseudoscalar, vector and axial-vector couplings. After bosonization and application of the Pauli-Villars regularization method, we verify that the relevant dispersion relations are satisfied in the model, and use them to evaluate the point to point correlatorsin several channels, namely σ, π, ϱ and A. The results are not very sensitive to the particular value of the vector coupling constant, Gν. We also discuss and compare with the corresponding calculations in lattice QCD in the quenched approximation and the random instanton liquid model.