Abstract
We prove that the (physical) measures giving the euclidean Green's functions for theP(ϕ)2 theory for small coupling constants are mutually singular under specified conditions on the ground-state energy density. In particular the free measure and the physical measure are mutually singular when the coupling constant is small.
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Communicated by A.S. Wightman
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Schrader, R. On the euclidean version of Haag's theorem inP(ϕ)2 theories. Commun.Math. Phys. 36, 133–136 (1974). https://doi.org/10.1007/BF01646327
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DOI: https://doi.org/10.1007/BF01646327