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Title: Bound on asymptotics of magnitude of three point coefficients in 2D CFT

Abstract

Here, we use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically.

Authors:
ORCiD logo [1]
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  1. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Publication Date:
Research Org.:
Inst. for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Simons Foundation
OSTI Identifier:
1597248
Grant/Contract Number:  
SC0009988; SC0009919
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: 2020; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Conformal Field Theory

Citation Formats

Pal, Sridip. Bound on asymptotics of magnitude of three point coefficients in 2D CFT. United States: N. p., 2020. Web. doi:10.1007/JHEP01(2020)023.
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Pal, Sridip. Bound on asymptotics of magnitude of three point coefficients in 2D CFT. United States. doi:https://doi.org/10.1007/JHEP01(2020)023
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Pal, Sridip. Tue . "Bound on asymptotics of magnitude of three point coefficients in 2D CFT". United States. doi:https://doi.org/10.1007/JHEP01(2020)023. https://www.osti.gov/servlets/purl/1597248.
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@article{osti_1597248,
title = {Bound on asymptotics of magnitude of three point coefficients in 2D CFT},
author = {Pal, Sridip},
abstractNote = {Here, we use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically.},
doi = {10.1007/JHEP01(2020)023},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2020,
place = {United States},
year = {2020},
month = {1}
}
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Journal Article:
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DOI:  https://doi.org/10.1007/JHEP01(2020)023
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