Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 379, Issue 1, Pages 227-259Publisher
SPRINGER
DOI: 10.1007/s00220-020-03836-8
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Funding
- Scuola Internazionale Superiore di Studi Avanzati SISSA within the CRUI-CARE Agreement
- Swiss National Science Foundation through the NCCR SwissMAP
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In conformal field theory in Minkowski momentum space, the 3-point correlation functions of local operators are completely fixed by symmetry. Using Ward identities together with the existence of a Lorentzian operator product expansion (OPE), we show that the Wightman function of three scalar operators is a double hypergeometric series of the Appell F-4 type. We extend this simple closed-form expression to the case of two scalar operators and one traceless symmetric tensor with arbitrary spin. Time-ordered and partially-time-ordered products are constructed in a similar fashion and their relation with the Wightman function is discussed.
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