Universality in the exact renormalization group: comparison to perturbation theory

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 $\lambda {\varphi }^4$ 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.

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

References in corpus (3)

• Exact evolution equation for the effective potential
• The nonperturbative functional renormalization group and its applications
• Functional Renormalization and $\overline{\text{MS}}$

Cited by in corpus (1)

• New renormalization group study of the 3-state Potts model and related statistical models