Skip to main content
Log in

Quantum symmetries and thermal field dynamics

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

In Thermal Field Dynamics, thermal states are obtained from restrictions of vacuum states on a doubled field algebra. It is shown that the suitably doubled Fock representations of the Heisenberg algebra do not need to be introduced by hand but can be canonically handed down from deformations of the extended Heisenberg bialgebra. The relationship between quantum symmetries and doublings is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Y. Takahashi and H. Umezawa: Collective Phenomena 2 (1995) 55. H. Umezawa, H. Matsumoto, and M. Tachiki: Thermo Field Dynamics and Condensed States, North Holland, Amsterdam, 1982. H. Umezawa: Advanced Field Theory: Micro, Macro and Thermal Physics, AIP, New York, 1993.

    Google Scholar 

  2. I. Ojima: Ann. Phys. 137 (1981) 1.

    Google Scholar 

  3. J. Madore: An Introduction to Noncommutative Geometry and its Physical Applications, Cambridge University Press, Cambridge, 1995.

    Google Scholar 

  4. A. Iorio and G. Vitiello: Mod. Phys. Lett. B 8 (1994) 269.

    Google Scholar 

  5. E. Celeghini, S. de Martino, S. de Siena, G. Vitiello, and M. Rasetti: Mod. Phys. Lett. B 7 (1993) 1321.

    Google Scholar 

  6. E. Celeghini, S. de Martino, S. de Siena, M. Rasetti, and G. Vitiello: Ann. Phys. 241 (1995) 50.

    Google Scholar 

  7. E. Celeghini, R. Giachetti, E. Sorace, and M. Tarlini, J. Math. Phys. 32 (1991) 1155.

    Google Scholar 

  8. P. Krtouš: gr-qc/9507023 and private communication.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kopf, T., Santana, A.E. & Khanna, F.C. Quantum symmetries and thermal field dynamics. Czechoslovak Journal of Physics 48, 1401–1405 (1998). https://doi.org/10.1023/A:1021609306957

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021609306957

Keywords

Navigation