Universality in the Exact Renormalization Group: Comparison to Perturbation Theory

Apr 2, 2023
11 pages
Published in:
  • Universe 9 (2023) 9, 409,
  • Universe 9 (2023) 409
  • Published: Sep 7, 2023
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Abstract: (MDPI)
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 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.
Note:
  • 11 pages; new case studied, references added; normalization error corrected, with significant changes
  • renormalization group
  • universality
  • nonperturbative field theory
  • mass: renormalization
  • dimension: 3
  • regularization
  • renormalization group
  • universality
  • perturbation theory
  • phi**n model: 4