English

Exact renormalization group and Phi-derivable approximations

High Energy Physics - Phenomenology 2011-03-07 v1 Other Condensed Matter High Energy Physics - Theory

Abstract

We show that the so-called Phi-derivable approximations can be combined with the exact renormalization group to provide efficient non-perturbative approximation schemes. On the one hand, the Phi-derivable approximations allow for a simple truncation of the infinite hierarchy of the renormalization group flow equations. On the other hand, the flow equations turn the non linear equations that derive from the Phi-derivable approximations into an initial value problem, offering new practical ways to solve these equations.

Keywords

Cite

@article{arxiv.1009.6048,
  title  = {Exact renormalization group and Phi-derivable approximations},
  author = {Jean-Paul Blaizot and Jan M. Pawlowski and Urko Reinosa},
  journal= {arXiv preprint arXiv:1009.6048},
  year   = {2011}
}

Comments

15 pages, 2 figures

R2 v1 2026-06-21T16:21:22.789Z