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arXiv · 1811.00213

Resummation at finite conformal spin

Carlos Cardona·Sunny Guha·Surya Kiran Kanumilli·Kallol Sen
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Abstract

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.

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Carlos Cardona, Sunny Guha, Surya Kiran Kanumilli, Kallol Sen. 2018-11-01. Resummation at finite conformal spin. https://doi.org/10.1007/jhep01(2019)077

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