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Conformal Correlation functions in four dimensions from Quaternionic Lauricella system
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abstract
Correlation functions in Euclidean conformal field theories in four dimensions are expressed as representations of the conformal group $SL(2,\H)$, $\H$ being the field of quaternions, on the configuration space of points. The representations are obtained in terms of Lauricella system for quaternions. It generalizes the two-dimensional case, wherein the $N$-point correlation function is expressed in terms of solutions of Lauricella system on the configuration space of $N$ points on the complex plane, furnishing representation of the conformal group $SL(2,\C)$.
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Feynman Diagrams from Conformal Integrals
Any massless-internal Feynman integral is a limit of a conformal integral, letting conformal-family computations supply exact answers for many Feynman diagrams.
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