Abstract
We apply the results of a previous paper by Screaton and Truman to the truncated vacuum expectation values in Wightman field theory and, using spectrality, translational invariance, and Lorentz invariance, we derive the best bounds for the truncated vacuum expectation values at the real Jost points. In a local field theory these bounds include as a special case Araki's result on the exponential decrease of the truncated vacuum expectation value for large spacelike separations and the cluster decomposition property. The bounds also establish a connection between the small distance and high energy behaviors of the theory. In addition we evaluate the bounds in a nonlocal field theory and discuss some of their ramifications. Copyright © 1974 American Institute of Physics.
| Original language | English |
|---|---|
| Pages (from-to) | 1680-1685 |
| Number of pages | 6 |
| Journal | Journal of Mathematical Physics |
| Volume | 15 |
| Issue number | 10 |
| Publication status | Published - 1973 |
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Spectrality, cluster decomposition and small distance properties in Wightman field theory. / Truman, Aubrey.
In: Journal of Mathematical Physics, Vol. 15, No. 10, 1973, p. 1680-1685.Research output: Contribution to journal › Article
TY - JOUR
T1 - Spectrality, cluster decomposition and small distance properties in Wightman field theory
AU - Truman, Aubrey
PY - 1973
Y1 - 1973
N2 - We apply the results of a previous paper by Screaton and Truman to the truncated vacuum expectation values in Wightman field theory and, using spectrality, translational invariance, and Lorentz invariance, we derive the best bounds for the truncated vacuum expectation values at the real Jost points. In a local field theory these bounds include as a special case Araki's result on the exponential decrease of the truncated vacuum expectation value for large spacelike separations and the cluster decomposition property. The bounds also establish a connection between the small distance and high energy behaviors of the theory. In addition we evaluate the bounds in a nonlocal field theory and discuss some of their ramifications. Copyright © 1974 American Institute of Physics.
AB - We apply the results of a previous paper by Screaton and Truman to the truncated vacuum expectation values in Wightman field theory and, using spectrality, translational invariance, and Lorentz invariance, we derive the best bounds for the truncated vacuum expectation values at the real Jost points. In a local field theory these bounds include as a special case Araki's result on the exponential decrease of the truncated vacuum expectation value for large spacelike separations and the cluster decomposition property. The bounds also establish a connection between the small distance and high energy behaviors of the theory. In addition we evaluate the bounds in a nonlocal field theory and discuss some of their ramifications. Copyright © 1974 American Institute of Physics.
UR - http://www.scopus.com/inward/record.url?scp=36849099486&partnerID=8YFLogxK
M3 - Article
VL - 15
SP - 1680
EP - 1685
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 10
ER -