- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Finite-temperature scalar field theory in static de Sitter space

D. V. Fursaev*

G. Miele†

  • Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office, P. O. Box 79, Moscow, Russia

  • Dipartimento di Scienze Fisiche, Università di Napoli-Federico II-, and INFN Sezione di Napoli, Mostra D'Oltremare Padiglione 19, 80125, Napoli, Italy

  • *Electronic address: fursaev@theor.jinrc.dubna.su
  • †Electronic address: miele@napoli.infn.it; miele@vaxnal.cern.ch
PDF

Phys. Rev. D 49, 987 – Published 15 January, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.987

Abstract

The finite-temperature one-loop effective potential for a scalar field in static de Sitter space-time is obtained by using the ζ-function method. Near the zero and Hawking temperatures, the de Sitter-invariant state, the effective potential is represented as a power-series expansion of the temperature, and its behavior is studied. The analysis shows the important role played by the curvature on the absolute minima of the potential. The effects of conical singularities of the space, appearing in the functional integral formalism for the thermal averages, are also discussed in connection with the scaling properties of the theory.

View figure in article

References (23)

  1. A.D. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic, New York, 1990)
  2. G.M. Shore, Ann. Phys. (N.Y.) 128, 376 (1980)
  3. B. Allen, Nucl. Phys. B226, 228 (1983)
  4. B. Allen, Ann. Phys. (N.Y.) 161, 152 (1985)
  5. F. Buccella, G. Esposito, and G. Miele, Class. Quantum Grav. 9, 1499 (1992)
  6. N.A. Chernikov and E.A. Tagirov, Ann. Inst. Henri Poincaré 9, 109 (1968)
  7. G.W. Gibbons and S.W. Hawking, Phys. Rev. D 15, 2738 (1977)
  8. J.S. Dowker, J. Phys. A 10, 115 (1977) Phys. Rev. D 18, 1856 (1978)
  9. S.W. Hawking, Commun. Math. Phys. 55, 133 (1977)
  10. G. Esposito, Quantum Gravity, Quantum Cosmology and Lorentzian Geometries, Lecture Notes in Physics, New Series m: Monographs, Vol. m12 (Springer-Verlag, New York, 1992)
  11. E. Schrödinger, Expanding Universes (Cambridge University Press, New York, 1956)
  12. B.S. Kay and R.M. Wald, Phys. Rep. 207, 49 (1991)
  13. P. Scott, Bull. London Math. Soc. 15, 401 (1983)
  14. A.D.Linde, Nucl. Phys. B216, 421 (1983)
  15. [3] [4]
  16. D.V. Fursaev, "The heat kernel expansion on a cone and quantum fields near cosmic strings," Report No. JINR E2-93-291, Dubna 1993 (unpublished)
  17. D.V. Fursaev, Pis'ma Zh. Eksp. Teor. Fiz. 58, 481 (1993) [JETP Lett. 58, 479 (1993)]
  18. G. Cognola, K. Kirsten, and L. Vanzo, Phys. Rev. D (to be published)
  19. J.S. Dowker and G. Kennedy, J.Phys. A 11, 895 (1978)
  20. P. Candelas and J.S. Dowker, Phys. Rev. D 19, 2902 (1979)
  21. R.M. Wald, Commun. Math. Phys. 70, 221 (1979)
  22. B. Allen, Phys. Rev. D 33, 3640 (1986)
  23. Higher Transcendental Functions (Bateman Manuscript Project), edited by A. Erdelyi (McGraw-Hill, New York, 1954), Vol. 1

Outline

Information

Phys. Rev. D 49, 987– Published 15 January, 1994
  • Received 16 February 1993

© 1994 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation