journal article
Aug 01, 1967
Uniqueness of the Haag-Ruelle Scattering States
Abstract
It is remarked that no complete proof exists in the literature that the asymptotic states of quantum field theory are independent of the spacelike surfaces chosen to define them. In this paper we present a proof which is valid for any plane surface; this follows the Haag-Ruelle method, supplemented by lemmas showing that the usual bounds on truncated Wightman functions and smooth solutions of the Klein-Gordon equation are uniform in certain spacelike regions. The same lemmas immediately show that asymptotic states may be defined using any spacelike surface possessing a normal, which lies inside a closed timelike cone at all points. The proof of the convergence of these states has hitherto been incomplete. It is then important to show that these states are independent of the surface; we sketch a proof of this.
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References
12
[1]
Phys. Rev. (1958) 10.1103/physrev.112.669
[2]
Helv. Phys. Acta (1962)
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Ann. Phys. (N.Y.) (1960) 10.1016/0003-4916(60)90135-4
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Helv. Phys. Acta (1961)
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Helv. Phys. Acta. (1966)
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[12]
Metrics
9
Citations
12
References
Details
- Published
- Aug 01, 1967
- Vol/Issue
- 8(8)
- Pages
- 1685-1693
Cite This Article
R. F. Streater (1967). Uniqueness of the Haag-Ruelle Scattering States. Journal of Mathematical Physics, 8(8), 1685-1693. https://doi.org/10.1063/1.1705409
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