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The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT

Liu, Junyu and Meltzer, David and Poland, David and Simmons-Duffin, David (2020) The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT. Journal of High Energy Physics, 2020 (9). Art. No. 115. ISSN 1029-8479. doi:10.1007/jhep09(2020)115.

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We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 (s, ϕ, and t). We obtain numerical predictions for low-twist OPE data in several charge sectors using the extremal functional method. We compare the results to analytical estimates using the Lorentzian inversion formula and a small amount of numerical input. We find agreement between the analytic and numerical predictions. We also give evidence that certain scalar operators lie on double-twist Regge trajectories and obtain estimates for the leading Regge intercepts of the O(2) model.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Liu, Junyu0000-0003-1669-8039
Poland, David0000-0003-3854-2430
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:© 2020 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. Received: July 20, 2020. Accepted: August 17, 2020. Published: September 17, 2020. Article funded by SCOAP3. We thank Soner Albayrak, Simon Caron-Huot, Shai Chester, Rajeev Erramilli, Walter Landry, Zhijin Li, Junchen Rong, Slava Rychkov, Ning Su, Alessandro Vichi, and Zahra Zahraee for discussions. We particularly thank Walter Landry and Ning Su for their valuable assistance with computing and software. DSD and JL are supported by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap). DSD and JL are also supported by a Sloan Research Fellowship, and a DOE Early Career Award under grant no. DE-SC0019085. The research of DM is supported by the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation. DP is supported by Simons Foundation grant 488651 (Simons Collaboration on the Nonperturbative Bootstrap) and DOE grant no. DE-SC0020318. This work uses the Caltech High-Performance Cluster, partially supported by a grant from the Gordon and Betty Moore Foundation, and the Grace computing cluster, supported by the facilities and staff of the Yale University Faculty of Sciences High-Performance Computing Center.
Errata:Liu, J., Meltzer, D., Poland, D. et al. Erratum to: The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT. J. High Energ. Phys. 2021, 206 (2021).
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
Funding AgencyGrant Number
Simons Foundation488657
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0019085
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Simons Foundation488651
Department of Energy (DOE)DE-SC0020318
Gordon and Betty Moore FoundationUNSPECIFIED
Yale UniversityUNSPECIFIED
Subject Keywords:Conformal and W Symmetry, Conformal Field Theory
Issue or Number:9
Record Number:CaltechAUTHORS:20200924-144352084
Persistent URL:
Official Citation:Liu, J., Meltzer, D., Poland, D. et al. The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT. J. High Energ. Phys. 2020, 115 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105528
Deposited By: George Porter
Deposited On:24 Sep 2020 22:04
Last Modified:01 Jun 2023 22:26

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