Globally conformal invariant gauge field theory with rational correlation functions Original Research Article

Operator product expansions (OPE) for the product of a scalar field with its conjugate are presented as infinite sums of bilocal fields Vκ(x1,x2) of dimension (κ,κ). For a globally conformal invariant (GCI) theory we write down the OPE of Vκ into a series of twist (dimension minus rank) 2κ symmetric traceless tensor fields with coefficients computed from the (rational) 4-point function of the scalar field.