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The significance of conformal inversion in quantum field theory

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Abstract

The 2-point functions of Euclidean conformal invariant quantum field theory are looked at as intertwining kernels of the conformal group. In this analysis a fundamental role is played by a two-element groupW, whose non-identity element ℛ=R·I consists of the conformal inversionR multiplied by a space-time reflectionI. The propagators of conformal invariant quantum field theory are determined by the requirement of ℛ-covariance. The importance of the ℛ-inversion in the theory of Zeta-functions is mentioned.

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  1. Deutsches Elektronen-Synchrotron, DESY, Hamburg, Federal Republic of Germany

    K. Koller

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  1. K. Koller
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Communicated by R. Haag

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Koller, K. The significance of conformal inversion in quantum field theory. Commun.Math. Phys. 40, 15–35 (1975). https://doi.org/10.1007/BF01614094

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