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- W1779003965 abstract "Classical field configurations such as the Coulomb potential and Schwarzschild solution are built from the t-channel exchange of many light degrees of freedom. We study the CFT analog of this phenomenon, which we term the ‘eikonalization’ of conformal blocks. We show that when an operator T appears in the OPE $$ mathcal{O}(x)mathcal{O}(0) $$ , then the large spin Fock space states [TT ⋯ T]ℓ also appear in this OPE with a computable coefficient. The sum over the exchange of these Fock space states in an $$ leftlangle mathcal{OOOO}rightrangle $$ correlator build the classical ‘T field’ in the dual AdS description. In some limits the sum of all Fock space exchanges can be represented as the exponential of a single T exchange in the 4-pt correlator of $$ mathcal{O} $$ . Our results should be useful for systematizing 1/ℓ perturbation theory in general CFTs and simplifying the computation of large spin OPE coefficients. As examples we obtain the leading log ℓ dependence of Fock space conformal block coefficients, and we directly compute the OPE coefficients of the simplest ‘triple-trace’ operators." @default.
- W1779003965 created "2016-06-24" @default.
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- W1779003965 date "2015-09-01" @default.
- W1779003965 modified "2023-10-12" @default.
- W1779003965 title "Eikonalization of conformal blocks" @default.
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- W1779003965 doi "https://doi.org/10.1007/jhep09(2015)019" @default.
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