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Motivated by recent numerical findings [M. Henkel, T. Enss, and M. Pleimling,J. Phys. A: Math. Gen. 39 (2006) L589] we re-examine via Monte Carlosimulations the linear response function of the two-dimensional Ising modelwith Glauber dynamics quenched to the critical point. At variance with theresults of Henkel et al., we detect discrepancies between the actual scalingbehavior of the response function and the prediction of Local Scale Invariance.Such differences are clearly visible in the impulse autoresponse function,whereas they are drastically reduced in integrated response functions.Accordingly, the scaling form predicted on the basis of Local Scale Invariancesimply provides an accurate fitting form for some quantities but cannot beconsidered to be exact.

The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance