Bound on asymptotics of magnitude of three point coefficients in 2D CFT
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 c...
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2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)023 |
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doaj-559ef038e18440318685f0fad41881df2021-01-10T12:09:13ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113910.1007/JHEP01(2020)023Bound on asymptotics of magnitude of three point coefficients in 2D CFTSridip Pal0Department of Physics, University of CaliforniaAbstract 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.https://doi.org/10.1007/JHEP01(2020)023Conformal and W SymmetryConformal Field Theory |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sridip Pal |
| spellingShingle |
Sridip Pal Bound on asymptotics of magnitude of three point coefficients in 2D CFT Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory |
| author_facet |
Sridip Pal |
| author_sort |
Sridip Pal |
| title |
Bound on asymptotics of magnitude of three point coefficients in 2D CFT |
| title_short |
Bound on asymptotics of magnitude of three point coefficients in 2D CFT |
| title_full |
Bound on asymptotics of magnitude of three point coefficients in 2D CFT |
| title_fullStr |
Bound on asymptotics of magnitude of three point coefficients in 2D CFT |
| title_full_unstemmed |
Bound on asymptotics of magnitude of three point coefficients in 2D CFT |
| title_sort |
bound on asymptotics of magnitude of three point coefficients in 2d cft |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2020-01-01 |
| description |
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. |
| topic |
Conformal and W Symmetry Conformal Field Theory |
| url |
https://doi.org/10.1007/JHEP01(2020)023 |
| work_keys_str_mv |
AT sridippal boundonasymptoticsofmagnitudeofthreepointcoefficientsin2dcft |
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1724343342147305472 |