Scheme independence and the exact renormalization group
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.
- Publication:
-
Physics Letters B
- Pub Date:
- February 1995
- DOI:
- 10.1016/0370-2693(95)00025-G
- arXiv:
- arXiv:hep-th/9411122
- Bibcode:
- 1995PhLB..347...80B
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 15 pages, TeX with harvmac, 2 figures in compressed postscript