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Quantum properties of a bonsonic membrane at nonzero temperature

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The thermodynamics of a quasiclassical bosonic membrane is discussed. Based on the S representation, an attempt is made to construct the F representation for the free energy, and a comparison is made with the analogous analysis in field theory. The question of the possibility of dual symmetry of free energy is studied, and a dual-symmetric generalization of the free energy is constructed. The dependence of the Hagedorn temperature on the cutoff parameter is noted.

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Literature cited

  1. 1.

    A. A. Bytsenko and S. D. Odintsov, Phys. Lett.,B243, 63 (1990); Yad. Fiz.,52, 1495 (1990).

  2. 2.

    A. A. Bytsenko and A. Ktitorov, Phys. Lett.,B225, 325 (1989).

  3. 3.

    S. D. Odintsov, Czech. J. Phys. (1991).

  4. 4.

    S. D. Odintsov, Class. Quant. Grav.,7, L231 (1990); TMF (1991).

  5. 5.

    F. Alvarez and M. A. R. Osorio, Phys. Rev.,D36, 1175 (1987); P. Salomonson and B. Skagerstam, Nucl. Phys.,B268, 349 (1986); J. Atick and E. Witten, Nucl. Phys.,B310, 291 (1988); S. D. Odintsov, Europhys. Lett.,8, 207 (1989); and I. M. Likhttsier and S. D. Odintsov, Yad. Fiz.,51, 1473 (1990).

  6. 6.

    M. J. Duff et al., Nucl. Phys.,B297, 515 (1988).

  7. 7.

    M. J. Duff and I. X. Lu, Preprint CTP-TAMU-19/90.

  8. 8.

    N. Sakai and I. Senda, Progr. Theor. Phys.,75, 692 (1986); and K. Kikkawa and M. Yamasaki, Phys. Lett.,B149, 357 (1984).

  9. 9.

    M. A. R. Osorio, Cambridge (1991), Preprint HUTP/91-A010.

  10. 10.

    E. Alvarez and M. A. R. Osorio, Nucl. Phys.,B304, 327 (1988).

  11. 11.

    S. D. Odintsov, Phys. Lett.,B252, 573 (1990); Yad. Fiz., 53 (1990).

  12. 12.

    A. A. Bytsenko and S. D. Odintsov, Phys. Lett.,B245, 21 (1990); Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 70 (1990).

  13. 13.

    E. Bergshoeff, E. Sezgin, and P. K. Townsend, Ann. Phys.,185, 330 (1988).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 66–71, September, 1991.

The author is grateful to A. A. Bytsenko and I. M. Likhttsier for discussing a number of subjects.

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Odintsov, S.D. Quantum properties of a bonsonic membrane at nonzero temperature. Soviet Physics Journal 34, 798–802 (1991). https://doi.org/10.1007/BF00896715

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  • Free Energy
  • Field Theory
  • Analogous Analysis
  • Quantum Property
  • Cutoff Parameter