Scheme Independence and the Exact Renormalization Group
High Energy Physics - Theory
2009-10-28 v3
Abstract
We compute critical exponents in a 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.
Cite
@article{arxiv.hep-th/9411122,
title = {Scheme Independence and the Exact Renormalization Group},
author = {R. D. Ball and P. E. Haagensen and J. I. Latorre and E. Moreno},
journal= {arXiv preprint arXiv:hep-th/9411122},
year = {2009}
}
Comments
15 pages, TeX with harvmac, 2 figures in compressed postscript; presentation of first section revised, several minor errors corrected, two references added