We study the chiral critical behavior of QED using non-perturbative renormalization group (NPRG). Taking account of the non-ladder contributions, our flow equations are free from the gauge parameter α dependence. We clarify the chiral phase structure and calculate the anomalous dimension of φφ, which is enhanced compared to the ladder approximation. We find that the cutoff scheme dependence of the physical results is very small.
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Aoki et al. (1997) studied this question.