Bootstrapping the 3d Ising stress tensor
Creators
Abstract
We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators σ and ϵ, and the stress tensor Tμν. We obtain new precise determinations of scaling dimensions (∆σ, ∆ϵ) = (0.518148806(24), 1.41262528(29)) as well as OPE coefficients involving σ, ϵ, and Tμν. We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap.
Copyright and License
© 2025 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Article funded by SCOAP3.
Acknowledgement
We thank Yin-Chen He, Johan Henriksson, Christopher Herzog, Simon Caron-Huot, Luca Iliesiu, Denis Karateev, Walter Landry, Valentina Prilepina, Leonardo Rastelli, Slava Rychkov, Andreas Stergiou, Ning Su, Petar Tadić, Alessandro Vichi, and Xi Yin for discussions.
Funding
DP and MM were supported by Simons Foundation grant 488651 (Simons collaboration on the Nonperturbative Bootstrap) and DOE grant DE-SC0017660. AH is supported by Simons Foundation grant 994312 (Simons collaboration on Confinement and QCD Strings). The work of PK was funded by U.K. Research and Innovation (UKRI) under the U.K. government’s Horizon Europe funding Guarantee [grant number EP/X042618/1] and the Science and Technology Facilities Council [grant number ST/X000753/1]. Research at the Perimeter Institute is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MRI. This research was supported in part by grant NSF PHY-2309135 to the Kavli Institute for Theoretical Physics (KITP). This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. CHC, VD, AL, and DSD are supported in part by Simons Foundation grant 488657 (Simons collaboration on the Nonperturbative Bootstrap). RSE is supported by Simons Foundation grant 915279 (IHES).
Facilities
Expanse cluster at the San Diego Supercomputing Center (SDSC) through allocation PHY190023 from the Advanced Cyberinfrastructure Coordination Ecosystem: Services & Support (ACCESS) program, which is supported by National Science Foundation grants #2138259, #2138286, #2138307, #2137603, and #2138296.
DiRAC Memory Intensive service Cosma8 at Durham University, managed by the Institute for Computational Cosmology on behalf of the STFC DiRAC HPC Facility (https://www.dirac.ac.uk). The DiRAC service at Durham was funded by BEIS, UKRI and STFC capital funding, Durham University and STFC operations grants. DiRAC is part of the UKRI Digital Research Infrastructure.
Resnick High Performance Computing Center, a facility supported by Resnick Sustainability Institute at the California Institute of Technology.
Yale Grace computing cluster, supported by the facilities and staff of the Yale University Faculty of Sciences High Performance Computing Center.
CREATE High Performance Cluster [77] at King’s College London.
Supplemental Material
ESM 1 (ZIP)
Files
JHEP03(2025)136.pdf
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2411.15300 (arXiv)
Funding
- Simons Foundation
- 488651
- United States Department of Energy
- DE-SC0017660
- Simons Foundation
- 994312
- UK Research and Innovation
- EP/X042618/1
- Science and Technology Facilities Council
- ST/X000753/1
- Natural Sciences and Engineering Research Council
- Ministry of Research, Innovation and Science
- National Science Foundation
- PHY-2309135
- United States Department of Energy
- DE-SC0011632
- Simons Foundation
- 488657
- Simons Foundation
- 915279
- SCOAP3
Dates
- Accepted
-
2025-02-03
- Available
-
2025-03-18Published