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Published August 2019 | Version Submitted + Published
Journal Article Open

More analytic bootstrap: nonperturbative effects and fermions

Creators

  • 1. ROR icon Yale University
  • 2. ROR icon California Institute of Technology

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.

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.

Attached Files

Published - Albayrak2019_Article_MoreAnalyticBootstrapNonpertur.pdf

Submitted - 1904.00032.pdf

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1904.00032.pdf

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Additional details

Identifiers

Eprint ID
97708
Resolver ID
CaltechAUTHORS:20190808-135240962

Related works

Describes
https://arxiv.org/abs/1904.00032 (URL)

Funding

NSF
PHY-1350180
Simons Foundation
488651
Walter Burke Institute for Theoretical Physics, Caltech
Sherman Fairchild Foundation
Department of Energy (DOE)
DE-SC0011632
SCOAP3

Dates

Created
2019-08-09
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Walter Burke Institute for Theoretical Physics