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Title: More analytic bootstrap: nonperturbative effects and fermions

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.

Authors:
 [1];  [1];  [1]
  1. Yale Univ., New Haven, CT (United States); California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; National Science Foundation (NSF); Sherman Fairchild Foundation
OSTI Identifier:
1611636
Grant/Contract Number:  
SC0011632; 488651; PHY-1350180
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Conformal and W Symmetry; Conformal Field Theory; Nonperturbative Effects

Citation Formats

Albayrak, Soner, Meltzer, David, and Poland, David. More analytic bootstrap: nonperturbative effects and fermions. United States: N. p., 2019. Web. https://doi.org/10.1007/jhep08(2019)040.
Albayrak, Soner, Meltzer, David, & Poland, David. More analytic bootstrap: nonperturbative effects and fermions. United States. https://doi.org/10.1007/jhep08(2019)040
Albayrak, Soner, Meltzer, David, and Poland, David. Wed . "More analytic bootstrap: nonperturbative effects and fermions". United States. https://doi.org/10.1007/jhep08(2019)040. https://www.osti.gov/servlets/purl/1611636.
@article{osti_1611636,
title = {More analytic bootstrap: nonperturbative effects and fermions},
author = {Albayrak, Soner and Meltzer, David and Poland, David},
abstractNote = {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.},
doi = {10.1007/jhep08(2019)040},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {2019},
month = {8}
}

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Cited by: 9 works
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