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Article Dans Une Revue Journal of High Energy Physics Année : 2017

A tauberian theorem for the conformal bootstrap

Résumé

For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(2, R)-invariant correlators (also known as 1d CFTs). It also puts on solid ground a part of the lightcone bootstrap analysis of the spectrum of operators of high spin and bounded twist in CFTs in d > 2. In addition, a similar argument controls the spectral density asymptotics in large N gauge theories.
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hal-01679633 , version 1 (10-01-2018)

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Jiaxin Qiao, Slava Rychkov. A tauberian theorem for the conformal bootstrap. Journal of High Energy Physics, 2017, 2017 (12), pp.119. ⟨10.1007/JHEP12(2017)119⟩. ⟨hal-01679633⟩
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