F. Bonetto, V. Mastropietro Critical indices for the Yukawa2 quantum field theory (200K, postscript) ABSTRACT. The understanding of the Yukawa2 quantum field theory is still incomplete if the fermionic mass is much smaller than the coupling. We analyze the Schwinger functions for small coupling uniformly in the mass and we find that the asymptotic behavior of the two-point Schwinger function is anomalous and described by two critical indices, related to the renormalization of the mass and of the wave function. The indices are explicitly computed by convergent series in the coupling.