Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

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