| Article | |
| Report number | arXiv:1709.00008 ; CERN-TH-2017-176 |
| Title | A tauberian theorem for the conformal bootstrap |
| Related title | A tauberian theorem for the conformal bootstrap |
| Author(s) | Qiao, Jiaxin (CERN ; Ecole Normale Superieure) ; Rychkov, Slava (CERN ; Ecole Normale Superieure) |
| Publication | 2017-12-21 |
| Imprint | 2017-08-31 |
| Number of pages | 36 |
| Note | 36pp; v2: refs and comments added, misprints corrected |
| In: | JHEP 12 (2017) 119 |
| DOI | 10.1007/JHEP12(2017)119 |
| Subject category | math.MP ; Mathematical Physics and Mathematics ; math-ph ; Mathematical Physics and Mathematics ; hep-th ; Particle Physics - Theory |
| Abstract | 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. |
| Copyright/License | arXiv nonexclusive-distrib. 1.0 |
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