Resummation at finite conformal spin

Autor: Sunny Guha, Kallol Sen, Carlos Cardona, Surya Kiran Kanumilli
Rok vydání: 2019
Předmět:
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