English

Universality in the exact renormalization group: comparison to perturbation theory

High Energy Physics - Theory 2023-09-08 v3 Statistical Mechanics

Abstract

Various formulations of the exact renormalization group can be compared in the perturbative domain, in which we have reliable expressions for regularization-independent (universal) quantities. We consider the renormalization of the λϕ4\lambda\phi^4 theory in three dimensions and make a comparison between the sharp-cutoff regularization method and other more recent methods. They all give good results, which only differ by small non-universal terms.

Keywords

Cite

@article{arxiv.2304.00597,
  title  = {Universality in the exact renormalization group: comparison to perturbation theory},
  author = {Jose Gaite},
  journal= {arXiv preprint arXiv:2304.00597},
  year   = {2023}
}

Comments

11 pages; new case studied, references added; normalization error corrected, with significant changes