Abstract
The asymptotic behavior of the truncated vacuum expectation value of a product ofN (unbounded) quasilocal operators,F(x)=〈Q 1(x 1) ...Q N (x N )〉 T , is investigated for some of the separations space-like. It is shown that unless all clusters {x i1, ...,x ij } are partially time-like (or light-like) separated from their complements\(\left\{ {x_{i_{j + 1} } ,..., x_{i_N } } \right\}\),F(x) decreases faster than any inverse power of the diameter of the set {x 1, ...,x N }.
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This work was supported in part by the U.S. Atomic Energy Commission.
Research supported in part by the National Science Foundation.
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Herbst, I. On the asymptotic behavior of Wightman functions in space-like directions. Commun.Math. Phys. 27, 235–239 (1972). https://doi.org/10.1007/BF01645694
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DOI: https://doi.org/10.1007/BF01645694