Conformal partial waves in momentum space
Keyword(s):
The decomposition of 4-point correlation functions into conformal partial waves is a central tool in the study of conformal field theory. We compute these partial waves for scalar operators in Minkowski momentum space, and find a closed-form result valid in arbitrary space-time dimension d \geq 3d≥3 (including non-integer dd). Each conformal partial wave is expressed as a sum over ordinary spin partial waves, and the coefficients of this sum factorize into a product of vertex functions that only depend on the conformal data of the incoming, respectively outgoing operators. As a simple example, we apply this conformal partial wave decomposition to the scalar box integral in d = 4d=4 dimensions.
1989 ◽
Vol 91
(4)
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pp. 2216-2234
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Keyword(s):
2005 ◽
Vol 24
(1)
◽
pp. 111-128
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2020 ◽
Vol 22
(2)
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pp. 628-641
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