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- W2153142196 abstract "The twist two contribution in the operator product expansion of $$phi_{1} ({rm x}_{1})phi_{2}({rm x}_{2})$$ for a pair of globally conformal invariant, scalar fields of equal scaling dimension d in four space–time dimensions is a field V 1 (x1, x2) which is harmonic in both variables. It is demonstrated that the Huygens bilocality of V 1 can be equivalently characterized by a “single–pole property” concerning the pole structure of the (rational) correlation functions involving the product $$phi_{1}({rm x}_{1})phi_{2}({rm x}_{2})$$ . This property is established for the dimension d = 2 of $$phi_{1}, phi_{2}$$ . As an application we prove that any system of GCI scalar fields of conformal dimension 2 (in four space–time dimensions) can be presented as a (possibly infinite) superposition of products of free massless fields." @default.
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- W2153142196 date "2008-02-08" @default.
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- W2153142196 title "Harmonic Bilocal Fields Generated by Globally Conformal Invariant Scalar Fields" @default.
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- W2153142196 doi "https://doi.org/10.1007/s00220-007-0394-0" @default.
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