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TMF, 1976 Volume 26, Number 3, Pages 309–315 (Mi tmf3224)

Spectral properties of bilocal operators in the expansion of a product of local operators on the light cone

Yu. G. Shondin


Abstract: A study is made of the spectral properties of bilocal operators in the expansion of a product of operators on the cone in the Wilson–Zimmermann approach [1–4]. It is shown that the spectral condition and polynomial boundedness lead to analyticity of the matrix elements of the biloeal operators in coordinate space. A method is developed for separating out from the general expansion the operators in which the spectral properties of the bilocal operators can be fixed explicitly.

Received: 25.06.1975


 English version:
Theoretical and Mathematical Physics, 1976, 26:3, 208–212

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