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Conformal 3-point functions and the Lorentzian OPE in momentum space
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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 $F_4$ 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.
Forward citations
Cited by 2 Pith papers
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Effective dynamics of open 2D CFTs
The momentum-space thermal four-point response function of scalar primaries in an arbitrary 2D CFT is expressed as an infinite sum over global conformal blocks of Meijer G-functions.
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Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory
Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.
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