Abstract
We consider the short-distance behaviour of the product of the Noether O(N) currents in the lattice nonlinear σ-model. We compare the numerical results with the predictions of the operator product expansion, using one-loop perturbative renormalization-group improved Wilson coefficients. We find that, even on quite small lattices (ma ≈ 1/6), the perturbative operator product expansion describes that data with an error of 5-10% in a large window 2a ≲ x ≲ m−1. We present a detailed discussion of the possible systematic errors.