Exact Beta Functions in the Vector Model and Renormalization Group Approach
High Energy Physics - Theory
2009-10-22 v2
Abstract
The validity of the renormalization group approach for large is clarified by using the vector model as an example. An exact difference equation is obtained which relates free energies for neighboring values of . The reparametrization freedom in field space provides infinitely many identities which reduce the infinite dimensional coupling constant space to that of finite dimensions. The effective beta functions give exact values for the fixed points and the susceptibility exponents.
Cite
@article{arxiv.hep-th/9303090,
title = {Exact Beta Functions in the Vector Model and Renormalization Group Approach},
author = {Saburo Higuchi and Chigak Itoi and Norisuke Sakai},
journal= {arXiv preprint arXiv:hep-th/9303090},
year = {2009}
}
Comments
13 pages (no figures) in LaTeX, TIT/HEP-215, NUP-A-93-4, a few minor corrections