CaltechAUTHORS
  A Caltech Library Service

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. https://resolver.caltech.edu/CaltechAUTHORS:20190808-135240962

[img] PDF - Published Version
Creative Commons Attribution.

775Kb
[img] PDF - Submitted Version
See Usage Policy.

984Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20190808-135240962

Abstract

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
https://doi.org/10.1007/jhep08(2019)040DOIArticle
https://arxiv.org/abs/1904.00032arXivDiscussion Paper
ORCID:
AuthorORCID
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
Funders:
Funding AgencyGrant Number
NSFPHY-1350180
Simons Foundation488651
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
SCOAP3UNSPECIFIED
Subject Keywords:Conformal and W Symmetry, Conformal Field Theory, Nonperturbative Effects
Issue or Number:8
Record Number:CaltechAUTHORS:20190808-135240962
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190808-135240962
Official Citation:Albayrak, S., Meltzer, D. & Poland, D. J. High Energ. Phys. (2019) 2019: 40. https://doi.org/10.1007/JHEP08(2019)040
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97708
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:09 Aug 2019 14:39
Last Modified:03 Oct 2019 21:34

Repository Staff Only: item control page