Wightman Functions, Retarded Functions and Their Analytic Continuations

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Abstract
Recent studies on the analyticity of the general n-point Wightman functions and the retarded functions in quantum field theory are reviewed. According to Wightman, the conventional axiom of quantum field theory is transcribed into an equivalent set of properties of the Wightman functions. It is then shown that the Wightman functions are boundary values of analytic functions in complex coordinate spaces and the linear properties of the Wightman functions are transcribed into an equivalent requirement on domains of analyticity of these analytic functions.

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