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DOE OSTI · 2576153

The five-point bootstrap

Poland, David·Prilepina, Valentina·Tadić, Petar
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Abstract

We study five-point correlation functions of scalar operators in d-dimensional conformal field theories. We develop a new approach to computing the five-point conformal blocks for exchanged primary operators of arbitrary spin by introducing a generalization of radial coordinates, using an appropriate ansatz, and perturbatively solving two quadratic Casimir differential equations. We then study five-point correlators 〈σσϵσσ〉 in the critical 3d Ising model. We truncate the operator product expansions (OPEs) in the correlator by including a finite number of primary operators with conformal dimension below a cutoff ∆ ⩽ ∆ cutoff . We then compute several OPE coefficients involving ϵ and two spinning operators by demanding that the truncated correlator approximately satisfies the crossing relation.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSConformal and W SymmetryCorrelation FunctionsField Theory and PolynomialsFive Factor ModelIntegral Transforms and Operational CalculusMultilinear AlgebraOperator TheoryPhysicsScale and Conformal SymmetriesSpecial Functions

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Poland, David, Prilepina, Valentina, Tadić, Petar. 2023-10-25. The five-point bootstrap. https://doi.org/10.1007/jhep10(2023)153

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