Título:
Conformal invariance in the nonperturbative renormalization group: A rationale for choosing the regulator
Otros títulos:
Coordinador:
Director:
Compilador:
Autor:
Balog, Ivan
De Polsi Astapenco, Gonzalo
Tissier, Matthieu
Wschebor, Nicolás
De Polsi Astapenco, Gonzalo
Tissier, Matthieu
Wschebor, Nicolás
Tutor:
Tipo de documento:
Preprint
Editor:
Palabras clave:
Condensed matter - statistical mechanics
High energy physics - theory
High energy physics - theory
Descriptores:
Año de publicación:
2020
Contenido:
Resumen:
Field-theoretical calculations performed in an approximation scheme often present a spurious dependence of physical quantities on some unphysical parameters associated with the details of the calculation setup (such as the renormalization scheme or, in perturbation theory, the resummation procedure). In the present article, we propose to reduce this dependence by invoking conformal invariance. Using as a benchmark the three-dimensional Ising model, we show that, within the derivative expansion at order 4, performed in the nonperturbative renormalization group formalism, the identity associated with this symmetry is not exactly satisfied. The calculations which best satisfy this identity are shown to yield critical exponents which coincide to a high accuracy with those obtained by the conformal bootstrap. Additionally, this work gives a strong justification to the success of a widely used criterion for fixing the appropriate renormalization scheme, namely the principle of minimal sensitivity.
Descripción:
Versión permitida: preprint. Editorial American Physical Society
metadata.articulos.dc.description.uri:
Editorial:
EN:
Financiadores:
Citación:
Balog, I, De Polsi Astapenco, G, Tissier, M [y otro]."Conformal invariance in the nonperturbative renormalization group: A rationale for choosing the regulator " [Preprint] Publicado en: Physical Review E, 2020, 101(6): 062146 DOI: 10.1103/PhysRevE.101.062146
Citación:
metadata.articulos.cc.license.name:
ISBN:
e-ISBN:
ISSN:
ISMN:
Otros identificadores:
Cobertura geográfica:
Cobertura temporal:
Departamento académico:
Grupo de investigación:
Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
Colecciones:
| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2004.02521.pdf | — | 372.66 KB | Adobe PDF |