Scheme Independence and the Exact Renormalization Group
R. D. Ball, P. E. Haagensen, J. I. Latorre, E. Moreno
Abstract
We compute critical exponents in a Z2 symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.
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