Resummation at finite conformal spin
Autor: | Sunny Guha, Kallol Sen, Carlos Cardona, Surya Kiran Kanumilli |
---|---|
Rok vydání: | 2019 |
Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Conformal Field Theory 010308 nuclear & particles physics Conformal field theory Computation FOS: Physical sciences Field Theories in Higher Dimensions Conformal map 01 natural sciences High Energy Physics - Theory (hep-th) 0103 physical sciences Wilson polynomials lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Operator product expansion Resummation 010306 general physics Mathematical physics |
Zdroj: | Journal of High Energy Physics Cardona, C, Guha, S, Kanumilli, S K & Sen, K 2019, ' Resummation at finite conformal spin ', Journal of High Energy Physics, vol. 2019, no. 1, 077 . https://doi.org/10.1007/JHEP01(2019)077 Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-29 (2019) |
ISSN: | 1029-8479 |
DOI: | 10.1007/jhep01(2019)077 |
Popis: | We generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in \cite{arXiv:1806.10919, arXiv:1808.00612} to arbitrary space-time dimensions. By using the inversion formula of Caron-Huot and the integral (Mellin) representation of conformal blocks, we show that the contribution from individual exchanges to anomalous dimensions and corrections to the OPE coefficients for "double-twist" operators $[\mathcal{O}_1\mathcal{O}_2]_{\Delta,J}$ in $s-$channel can be written at finite conformal spin in terms of generalized Wilson polynomials. This approach is democratic {\it wrt} space-time dimensions, thus generalizing the earlier findings to cases where closed form expressions of the conformal blocks are not available. Comment: Typos corrected, references added. JHEP version |
Databáze: | OpenAIRE |
Externí odkaz: |