Scheme Independence and the Exact Renormalization Group

Details Scheme Independence and the Exact Renormalization Group Scheme Independence and the Exact Renormalization Group

1994-11-16

arxiv.org/abs/hep-th/9411122v3

Phys.Lett. B347 (1995) 80-88

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, TeX with harvmac, 2 figures in compressed postscript; presentation of first section revised, several minor errors co

Scientific paper

10.1016/0370-2693(95)00025-G

We compute critical exponents in a $Z_2$ 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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