Conformal 3-point functions and the Lorentzian OPE in momentum space
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Publication:2200875
DOI10.1007/S00220-020-03836-8zbMATH Open1470.81053arXiv1909.00878OpenAlexW3080746040MaRDI QIDQ2200875
Author name not available (Why is that?)
Publication date: 23 September 2020
Published in: (Search for Journal in Brave)
Abstract: 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 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.
Full work available at URL: https://arxiv.org/abs/1909.00878
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