Abstract
The one dimensional Bose gas is considered in the repulsive case. The ground state of the system is the Dirac sea with a finite density. The correlation function of the currents is presented in the form of the series, then th term being the contribution ofn vacuum particles. In the strong coupling limitc → ∞ then th term decreases asc −n. In the weak coupling limitc → 0 the series is also essentially simplified. The decomposition gives the uniform approximation in the distance between the currents. The arguments in favour of convergence of the series are given.
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Communicated by A. Jaffe
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Korepin, V.E. Correlation functions of the one-dimensional Bose gas in the repulsive case. Commun.Math. Phys. 94, 93–113 (1984). https://doi.org/10.1007/BF01212351
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DOI: https://doi.org/10.1007/BF01212351