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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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摘要

摘要

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.
Keyword:
Correlation Functions
Scale and Conformal Symmetries
Conformal and W Symmetry

期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
3.9W
被引数:
13.7W

机构

Y
Yale University
学者数:
6.5W
论文数: 6.0W
被引数: 10.0W
P
Perimeter Institute for Theoretical Physics
学者数:
1.3K
论文数: 1.6K
被引数: 5
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