English

Exact Renormalization Group : A New Method for Blocking the Action

Statistical Mechanics 2015-05-13 v1

Abstract

We consider the exact renormalization group for a non-canonical scalar field theory in which the field is coupled to the external source in a special non linear way. The Wilsonian action and the average effective action are then simply related by a Legendre transformation up to a trivial quadratic form. An exact mapping between canonical and non-canonical theories is obtained as well as the relations between their flows. An application to the theory of liquids is sketched.

Keywords

Cite

@article{arxiv.0903.1812,
  title  = {Exact Renormalization Group : A New Method for Blocking the Action},
  author = {Jean-Michel Caillol},
  journal= {arXiv preprint arXiv:0903.1812},
  year   = {2015}
}
R2 v1 2026-06-21T12:20:24.269Z