Abstract
Consider the lattice approximation of a -quantum field model with different lattice cutoffs a′ and a in the free and interacting parts, respectively. In [1] it was shown that the corresponding continuum limit measure exists if lima→0a′| log a|5/4 < ∞ and it coincides with the original - field measure if lima→0a′| log a|2 < ∞. In this paper, a result is given indicating that the new continuum limit measure might be different from the original one if a′ is too big compared with a.
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