Bound on asymptotics of magnitude of three point coefficients in 2D CFT
High Energy Physics - Theory
2020-01-15 v3 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1906.11223,
title = {Bound on asymptotics of magnitude of three point coefficients in 2D CFT},
author = {Sridip Pal},
journal= {arXiv preprint arXiv:1906.11223},
year = {2020}
}
Comments
41 pages, many figures, v2: 43 pages, typos fixed, notation clarified, references and new graph added v3: refined argument and more precise numerics