English

The Wilson exact renormalization group equation and the anomalous dimension parameter

High Energy Physics - Theory 2013-07-09 v3

Abstract

The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice. A simple expression for the exactly marginal redundant operator proceeds from this non-linearity, whereas in the linear case, first order differential equations must be solved to get it. The role of this operator in the construction of the flow equation is highlighted.

Cite

@article{arxiv.1304.4131,
  title  = {The Wilson exact renormalization group equation and the anomalous dimension parameter},
  author = {C. Bervillier},
  journal= {arXiv preprint arXiv:1304.4131},
  year   = {2013}
}

Comments

10 pages

R2 v1 2026-06-21T23:59:46.845Z