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Title: Precision islands in the Ising and O(N ) models

Abstract

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.

Authors:
 [1];  [1];  [2];  [3]
  1. Yale Univ., New Haven, CT (United States)
  2. Princeton Univ., NJ (United States)
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Publication Date:
Research Org.:
Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1434624
Grant/Contract Number:  
SC0009988
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Conformal and W Symmetry; Nonperturbative Effects; Global Symmetries

Citation Formats

Kos, Filip, Poland, David, Simmons-Duffin, David, and Vichi, Alessandro. Precision islands in the Ising and O(N ) models. United States: N. p., 2016. Web. doi:10.1007/JHEP08(2016)036.
Kos, Filip, Poland, David, Simmons-Duffin, David, & Vichi, Alessandro. Precision islands in the Ising and O(N ) models. United States. doi:10.1007/JHEP08(2016)036.
Kos, Filip, Poland, David, Simmons-Duffin, David, and Vichi, Alessandro. Thu . "Precision islands in the Ising and O(N ) models". United States. doi:10.1007/JHEP08(2016)036. https://www.osti.gov/servlets/purl/1434624.
@article{osti_1434624,
title = {Precision islands in the Ising and O(N ) models},
author = {Kos, Filip and Poland, David and Simmons-Duffin, David and Vichi, Alessandro},
abstractNote = {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.},
doi = {10.1007/JHEP08(2016)036},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2016,
place = {United States},
year = {Thu Aug 04 00:00:00 EDT 2016},
month = {Thu Aug 04 00:00:00 EDT 2016}
}

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