Solutions of the Polchinski ERG equation in the O(N) scalar model

Yu. A. Kubyshin; R. Neves; R. Potting

doi:10.1142/S0217751X02011400

Solutions of the Polchinski ERG equation in the O(N) scalar model

High Energy Physics - Theory 2009-11-07 v2

Authors: Yu. A. Kubyshin , R. Neves , R. Potting

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

Solutions of the Polchinski exact renormalization group equation in the scalar O(N) theory are studied. Families of regular solutions are found and their relation with fixed points of the theory is established. Special attention is devoted to the limit $N=\infty$ , where many properties can be analyzed analytically.

Keywords

exact renormalization group Polchinski equation O(N) scalar model fixed points large N limit

Cite

@article{arxiv.hep-th/0202199,
  title  = {Solutions of the Polchinski ERG equation in the O(N) scalar model},
  author = {Yu. A. Kubyshin and R. Neves and R. Potting},
  journal= {arXiv preprint arXiv:hep-th/0202199},
  year   = {2009}
}

Comments

34 pages, 10 figures. References added. Version accepted for publication in the International Journal of Modern Physics A

Related papers

View all related →