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Precision islands in the Ising and O(N ) models

Kos, Filip and Poland, David and Simmons-Duffin, David and Vichi, Alessandro (2016) Precision islands in the Ising and O(N ) models. Journal of High Energy Physics, 2016 (8). Art. No. 036. ISSN 1029-8479.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kos, Filip0000-0001-7332-1655
Poland, David0000-0003-3854-2430
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:© 2016 The Author(s). Received: June 6, 2016 Accepted: July 6, 2016 Published: August 4, 2016 Article funded by SCOAP3. We thank Zohar Komargodski, Slava Rychkov, and Ettore Vicari for comments and discussions. The work of DSD is supported by DOE grant number DE-SC0009988 and a William D. Loughlin Membership at the Institute for Advanced Study. The work of DP and FK is supported by NSF grant 1350180. DP is additionally supported by a Martin A. and Helen Chooljian Founders' Circle Membership at the Institute for Advanced Study. The computations in this paper were run on the Bulldog computing clusters supported by the facilities and staff of the Yale University Faculty of Arts and Sciences High Performance Computing Center, on the Hyperion computing cluster supported by the School of Natural Sciences Computing Staff at the Institute for Advanced Study, and on the CERN cluster.
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0009988
Institute for Advanced StudyUNSPECIFIED
Yale UniversityUNSPECIFIED
Subject Keywords:Conformal and W Symmetry, Nonperturbative Effects, Global Symmetries
Issue or Number:8
Record Number:CaltechAUTHORS:20170816-100454531
Persistent URL:
Official Citation:Kos, F., Poland, D., Simmons-Duffin, D. et al. J. High Energ. Phys. (2016) 2016: 36.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80476
Deposited By: Ruth Sustaita
Deposited On:16 Aug 2017 22:49
Last Modified:20 Nov 2020 20:15

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