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:
-
- Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
- Publication Date:
- Research Org.:
- Institute 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.
Pal, Sridip. Bound on asymptotics of magnitude of three point coefficients in 2D CFT. United States. https://doi.org/10.1007/JHEP01(2020)023
Pal, Sridip. Tue .
"Bound on asymptotics of magnitude of three point coefficients in 2D CFT". United States. https://doi.org/10.1007/JHEP01(2020)023. https://www.osti.gov/servlets/purl/1597248.
@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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