English

Self-consistent renormalization group flow

High Energy Physics - Theory 2009-10-31 v1

Abstract

A self-consistent renormalization group flow equation for the scalar lambda phi^4 theory is analyzed and compared with the local potential approximation. The two prescriptions coincide in the sharp cutoff limit but differ with a smooth cutoff. The dependence of the critical exponent nu on the smoothness parameter and the field of expansion is explored. An optimization scheme based on the minimum sensitivity principle is employed to ensure the most rapid convergence of nu with the level of polynomial truncation.

Keywords

Cite

@article{arxiv.hep-th/0010100,
  title  = {Self-consistent renormalization group flow},
  author = {Sen-Ben Liao and Chi-Yong Lin and Michael Strickland},
  journal= {arXiv preprint arXiv:hep-th/0010100},
  year   = {2009}
}

Comments

25 pages, 11 figures