Abstract
This paper contains a few simple remarks on a paper by S. Schlieder and E. Seiler. For the special class of local fields treated by these authors we arrive at the same necessary condition for the existence of the Wilson-Zimmermann expansion (considered both as an operator expansion and as an expansion in bilinear forms) of the product ofn real scalar fields under the assumption that the singularities occurring asx j →x j+1;j=1, 2, ...,n−1, do not influence each other as long as these limits are simultaneously taken.
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References
Schlieder, S., Seiler, E.: Commun. math. Phys.31, 137 (1973)
Kühn, J., Seiler, E.: Commun. math. Phys.33, 253 (1973)
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Adetunji, O.: Nuovo Cimento29A, 174 (1975)
Streater, R., Wightman, A. S.: PCT, spin and statistics and all that. New York: W.A. Benjamin Inc. 1964
Jost, R.: The general theory of quantized fields. Providence: AMS 1965
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Communicated by R. Haag
This paper is part of a thesis presented to the University of Manitoba in partial fulfillment of the degree of Doctor of Philosophy.
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Adetunji, O. Remarks on the Wilson-Zimmermann expansion and some properties of them-point distribution. Commun.Math. Phys. 48, 199–205 (1976). https://doi.org/10.1007/BF01617869
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DOI: https://doi.org/10.1007/BF01617869