### 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 |
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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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### Cite this

*Journal of Mathematical Physics*,

*15*(10), 1680-1685.

}

*Journal of Mathematical Physics*, vol. 15, no. 10, pp. 1680-1685.

**Spectrality, cluster decomposition and small distance properties in Wightman field theory.** / Truman, Aubrey.

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 -