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Quasi-particles at finite temperatures

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Abstract

We study the consequences of the KMS-condition on the properties of quasi-particles, assuming their existence. We establish

  1. (i)

    If the correlation functions decay sufficiently, we can create them by quasi-free field operators.

  2. (ii)

    The outgoing and incoming quasi-free fields coincide, there is no scattering.

  3. (iii)

    There are may age-operatorsT conjugate toH. For special forms of the dispersion law ε(k) of the quasi-particles there is aT commuting with the number of quasi-particles and its time-monotonicity describes how the quasi-particles travel to infinity.

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Communicated by A. Jaffe

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Narnhofer, H., Requardt, M. & Thirring, W. Quasi-particles at finite temperatures. Commun.Math. Phys. 92, 247–268 (1983). https://doi.org/10.1007/BF01210849

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  • DOI: https://doi.org/10.1007/BF01210849

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