Article
Version 1
Preserved in Portico This version is not peer-reviewed
Universality in the Exact Renormalization Group: Comparison to Perturbation Theory
Version 1
: Received: 26 July 2023 / Approved: 27 July 2023 / Online: 27 July 2023 (08:43:12 CEST)
A peer-reviewed article of this Preprint also exists.
Gaite, J. Universality in the Exact Renormalization Group: Comparison to Perturbation Theory. Universe 2023, 9, 409. Gaite, J. Universality in the Exact Renormalization Group: Comparison to Perturbation Theory. Universe 2023, 9, 409.
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 $\lambda\phi^4$ theory in three dimensions and make a comparison between the sharp-cutoff regularization method and other more recent methods. The former gives considerably better results, while the other methods are far from optimal in the perturbative domain. In addition, these methods present theoretical problems that are already manifest in the renormalization of mass.
Keywords
renormalization group; universality; nonperturbative field theory
Subject
Physical Sciences, Particle and Field Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
