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A theorem concerning the positive metric

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Abstract

It is proved that if then-point correlation functions of a system vanish for alln>N then they vanish for alln>2. The theorem is valid for a wide variety of formalisms and an explicit proof is given for a Bose system with the canonical commutation relations; a proof is sketched out for a relativistic field theory of the Wightman type. The essential property used in the proof is the positive definite metric.

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References

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Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, München

    Derek W. Robinson

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  1. Derek W. Robinson
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Robinson, D.W. A theorem concerning the positive metric. Commun.Math. Phys. 1, 89–94 (1965). https://doi.org/10.1007/BF01649592

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  • DOI: https://doi.org/10.1007/BF01649592

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