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The five-point bootstrap

delete2023-10-25
delete14
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OA
AI
V
Valentina Prilepina
P
Petar Tadić
DOI:10.1007/JHEP10(2023)153delete
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Abstract

Abstract

En 中文
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 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 Delta <= Delta(cutoff). We then compute several OPE coefficients involving epsilon and two spinning operators by demanding that the truncated correlator approximately satisfies the crossing relation.
Keywords:
Correlation Functions
Scale and Conformal Symmetries
Conformal and W Symmetry

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
4.0W
Citations:
13.7W

Organization

Y
Yale University
Scholars:
6.5W
Papers: 6.0W
Citations: 10.0W
P
Perimeter Institute for Theoretical Physics
Scholars:
1.3K
Papers: 1.6K
Citations: 5
Cited Papers

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