Precision Islands in the Ising and $O(N)$ Models

We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading O...

Descripción completa

Detalles Bibliográficos
Autores principales: Kos, Filip, Poland, David, Simmons-Duffin, David, Vichi, Alessandro
Lenguaje:eng
Publicado: 2016
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP08(2016)036
http://cds.cern.ch/record/2139487
_version_ 1780950071452368896
author Kos, Filip
Poland, David
Simmons-Duffin, David
Vichi, Alessandro
author_facet Kos, Filip
Poland, David
Simmons-Duffin, David
Vichi, Alessandro
author_sort Kos, Filip
collection CERN
description We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension. The scaling dimensions and OPE coefficients obtained for the 3d Ising model, $(\Delta_{\sigma}, \Delta_{\epsilon},\lambda_{\sigma\sigma\epsilon}, \lambda_{\epsilon\epsilon\epsilon}) = (0.5181489(10), 1.412625(10), 1.0518537(41), 1.532435(19))$, give the most precise determinations of these quantities to date.
id cern-2139487
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
record_format invenio
spelling cern-21394872023-10-04T07:33:33Zdoi:10.1007/JHEP08(2016)036http://cds.cern.ch/record/2139487engKos, FilipPoland, DavidSimmons-Duffin, DavidVichi, AlessandroPrecision Islands in the Ising and $O(N)$ ModelsParticle Physics - TheoryWe make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension. The scaling dimensions and OPE coefficients obtained for the 3d Ising model, $(\Delta_{\sigma}, \Delta_{\epsilon},\lambda_{\sigma\sigma\epsilon}, \lambda_{\epsilon\epsilon\epsilon}) = (0.5181489(10), 1.412625(10), 1.0518537(41), 1.532435(19))$, give the most precise determinations of these quantities to date.We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, O(2), and O(3) models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension. The scaling dimensions and OPE coefficients obtained for the 3d Ising model, (Δ$_{σ}$ , Δ$_{ϵ}$ , λ$_{σσϵ}$ , λ$_{ϵϵϵ}$ ) = (0.5181489(10), 1.412625(10), 1.0518537(41), 1.532435(19) , give the most precise determinations of these quantities to date.We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension. The scaling dimensions and OPE coefficients obtained for the 3d Ising model, $(\Delta_{\sigma}, \Delta_{\epsilon},\lambda_{\sigma\sigma\epsilon}, \lambda_{\epsilon\epsilon\epsilon}) = (0.5181489(10), 1.412625(10), 1.0518537(41), 1.532435(19))$, give the most precise determinations of these quantities to date.arXiv:1603.04436CERN-TH-2016-050CERN-TH-2016-050oai:cds.cern.ch:21394872016-03-14
spellingShingle Particle Physics - Theory
Kos, Filip
Poland, David
Simmons-Duffin, David
Vichi, Alessandro
Precision Islands in the Ising and $O(N)$ Models
title Precision Islands in the Ising and $O(N)$ Models
title_full Precision Islands in the Ising and $O(N)$ Models
title_fullStr Precision Islands in the Ising and $O(N)$ Models
title_full_unstemmed Precision Islands in the Ising and $O(N)$ Models
title_short Precision Islands in the Ising and $O(N)$ Models
title_sort precision islands in the ising and $o(n)$ models
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP08(2016)036
http://cds.cern.ch/record/2139487
work_keys_str_mv AT kosfilip precisionislandsintheisingandonmodels
AT polanddavid precisionislandsintheisingandonmodels
AT simmonsduffindavid precisionislandsintheisingandonmodels
AT vichialessandro precisionislandsintheisingandonmodels

Ejemplares similares