Regulator dependence in the functional renormalization group: A quantitative explanation

Gonzalo De Polsi and Nicolás Wschebor
Phys. Rev. E 106, 024111 – Published 11 August 2022

Abstract

The search for controlled approximations to study strongly coupled systems remains a very general open problem. Wilson's renormalization group has shown to be an ideal framework to implement approximations going beyond perturbation theory. In particular, the most employed approximation scheme in this context, the derivative expansion, was recently shown to converge and yield accurate and very precise results. However, this convergence strongly depends on the shape of the employed regulator. In this paper we clarify the reason for this dependence and justify, simultaneously, the most commonly employed procedure to fix this dependence, the principle of minimal sensitivity.

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  • Received 29 April 2022
  • Accepted 22 July 2022

DOI:https://doi.org/10.1103/PhysRevE.106.024111

©2022 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Gonzalo De Polsi

  • Instituto de Física, Facultad de Ciencias, Universidad de la República, Iguá 4225, 11400 Montevideo, Uruguay

Nicolás Wschebor

  • Instituto de Física, Facultad de Ingeniería, Universidad de la República, J.H.y Reissig 565, 11000 Montevideo, Uruguay

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Issue

Vol. 106, Iss. 2 — August 2022

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