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More analytic bootstrap: nonperturbative effects and fermions

Albayrak, Soner and Meltzer, David and Poland, David (2019) More analytic bootstrap: nonperturbative effects and fermions. Journal of High Energy Physics, 2019 (8). Art. No. 40. ISSN 1029-8479. doi:10.1007/jhep08(2019)040.

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We develop the analytic bootstrap in several directions. First, we discuss the appearance of nonperturbative effects in the Lorentzian inversion formula, which are exponentially suppressed at large spin but important at finite spin. We show that these effects are important for precision applications of the analytic bootstrap in the context of the 3d Ising and O(2) models. In the former they allow us to reproduce the spin-2 stress tensor with error at the 10^(−5) level while in the latter requiring that we reproduce the stress tensor allows us to predict the coupling to the leading charge-2 operator. We also extend perturbative calculations in the lightcone bootstrap to fermion 4-point functions in 3d, predicting the leading and subleading asymptotic behavior for the double-twist operators built out of two fermions.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Albayrak, Soner0000-0002-9223-0115
Poland, David0000-0003-3854-2430
Additional Information:© The Author(s) 2019. 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. Received: June 12, 2019. Accepted: July 9, 2019. Published: August 7, 2019. We thank Eric Perlmutter, David Simmons-Duffin, and Douglas Stanford for relevant discussions. We also thank the organizers of the Bootstrap 2018 workshop where a portion of this work was completed. The research of D.P. and S.A. is supported by NSF grant PHY-1350180 and Simons Foundation grant 488651 (Simons Collaboration on the Nonperturbative Bootstrap). The research of DM is supported by the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation. 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.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488651
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Conformal and W Symmetry, Conformal Field Theory, Nonperturbative Effects
Issue or Number:8
Record Number:CaltechAUTHORS:20190808-135240962
Persistent URL:
Official Citation:Albayrak, S., Meltzer, D. & Poland, D. J. High Energ. Phys. (2019) 2019: 40.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97708
Deposited By: George Porter
Deposited On:09 Aug 2019 14:39
Last Modified:16 Nov 2021 17:33

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