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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1982 Volume 52, Number 3, Pages 363–374 (Mi tmf2559)

This article is cited in 8 papers

Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory

M. A. Soloviev


Abstract: The present paper is the last of three in whieh a new method is proposed for deriving the cluster decomposition properties of vacuum expectation values in field theories with a mass gap. In the present paper, it is shown that the decomposition property is established with exponential speed for the case of nonlocalizable highly singular fields. The usual Araki–Hepp–Ruelle method does not apply to such fields.

Received: 26.06.1981


 English version:
Theoretical and Mathematical Physics, 1982, 52:3, 854–862

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© Steklov Math. Inst. of RAS, 2026