This article is cited in 3 papers

On a Kubo–Martin–Schwinger state of the sine-Gordon system

N. V. Peskov


Abstract: The sine-Gordon equation on a finite interval is considered as a Hamiltonian system. A Gaussian measure is defined on an extension of the phase space. It is shown that the partition function $Z$ employed in the statistical mechanics of the solitons is an integral with respect to this measure. An algebra of observables is defined and on it a state is constructed which satisfies the Kubo–Martin–Schwinger condition.

Received: 18.04.1984

 English version: Theoretical and Mathematical Physics, 1985, 64:1, 666–672

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