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Asymptotic expansion of the one-loop Ω-potential of quantum fields with a quadratic dispersion law

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Nonextensive contributions of free quantum fields with quadratic dispersion law to the partition function are investigated. Nonextensive corrections are caused by finite sizes of the system. The general procedure of finding such corrections is developed. As an example, a model of the ideal gas of nonrelativistic fermions in a cube is considered. The equations of state are obtained for this system.

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Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    P. O. Kazinskii

  2. Institute of Monitoring of Climatic and Ecological Systems, Tomsk, Russia

    P. O. Kazinskii & M. A. Shipulya

Authors
  1. P. O. Kazinskii
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  2. M. A. Shipulya
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Corresponding author

Correspondence to P. O. Kazinskii.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 27–36, May, 2011.

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Kazinskii, P.O., Shipulya, M.A. Asymptotic expansion of the one-loop Ω-potential of quantum fields with a quadratic dispersion law. Russ Phys J 54, 536–547 (2011). https://doi.org/10.1007/s11182-011-9650-z

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  • DOI: https://doi.org/10.1007/s11182-011-9650-z

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