Abstract
The asymptotic behavior of truncated vacuum expectation values at large space-like separation is studied. Truncated vacuum expectation values are vacuum expectation values of products of field operators where the vacuum structure is subtracted out. It is shown under conventional assumptions of relativistic quantum field theory that the truncated vacuum expectation values at equal time tend to zero exponentially as the largest distance R of points tends to infinity with an exponent mR where m is the lowest mass and is assumed positive. It is also shown that the truncated vacuum expectation values tend to zero in an averaged sense faster than any power of R if the points are divided into two groups and separated by large space-like distance R where the points need not lie on a common space-like hypersurface.
Published Version
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