- 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

Choice of initial states in nonequilibrium dynamics

Jürgen Baacke*, Katrin Heitmann†, and Carsten Pätzold‡

  • Institut für Physik, Universität Dortmund, D-44221 Dortmund, Germany

  • *Electronic address: baacke@physik.uni-dortmund.de
  • †Electronic address: heitmann@hal1.physik.uni-dortmund.de
  • ‡Electronic address: paetzold@hal1.physik.uni-dortmund.de
PDF

Phys. Rev. D 57, 6398 – Published 15 May, 1998

DOI: https://doi.org/10.1103/PhysRevD.57.6398

Abstract

Imposing initial conditions to nonequilibrium systems at some time t0 leads, in renormalized quantum field theory, to the appearance of singularities in the variable t−t0 in relevant physical quantities, such as energy density and pressure. These “initial singularities” can be traced back to the choice of initial state. We construct here, by a Bogoliubov transformation, initial states such that these singularities are eliminated. While the construction is not unique it can be considered a minimal way of taking into account the nonequilibrium evolution of the system prior to t0.

View figure in article

References (28)

  1. F. Cooper, J. Eisenberg, Y. Kluger, E. Mottola, and B. Svetitsky, Phys. Rev. D 48, 190 (1993).
  2. D. Boyanovsky, H. J. de Vega, and R. Holman, Phys. Rev. D 51, 734 (1995).
  3. F. Cooper, Y. Kluger, E. Mottola, and J. P. Paz, Phys. Rev. D 51, 2377 (1995).
  4. F. Cooper, S. Habib, Y. Kluger, and E. Mottola, Phys. Rev. D 55, 6471 (1997).
  5. D. Boyanovsky, H. J. de Vega, R. Holman, and S. Prem Kumar, Phys. Rev. D 56, 1939 (1997); ibid.56, 3929 (1997).
  6. J. Baacke, K. Heitmann, and C. Pätzold, Phys. Rev. D 55, 7815 (1997).
  7. A. Ringwald, Z. Phys. C 34, 481 (1987); Ann. Phys. (N.Y.) 177, 129 (1987); inaugural dissertation, Heidelberg, 1988.
  8. E. Calzetta and B. L. Hu, Phys. Rev. D 35, 495 (1987); ibid.37, 2878 (1988).
  9. D. Boyanovsky, H. J. de Vega, and R. Holman, Phys. Rev. D 49, 2769 (1994).
  10. D. Boyanovsky, D. Cormier, H. J. de Vega, and R. Holman, Phys. Rev. D 55, 3373 (1997).
  11. D. Boyanovsky, D. Cormier, H. J. de Vega, R. Holman, A. Singh, and M. Srednicki, Phys. Rev. D 56, 1939 (1997).
  12. S. Y. Khlebnikov and I. I. Tkachev, Phys. Rev. Lett. 77, 219 (1996).
  13. S. Y. Khlebnikov and I. I. Tkachev, Phys. Lett. B 390, 80 (1997).
  14. D. T. Son, Phys. Rev. D 54, 3745 (1996).
  15. P. B. Greene, L. Kofman, A. Linde, and A. A. Starobinskii, Phys. Rev. D 56, 6175 (1997).
  16. L. Kofman, A. Linde, and A. A. Starobinskii, Phys. Rev. Lett. 76, 1011 (1996).
  17. D. I. Kaiser, Phys. Rev. D 53, 1776 (1996); ibid.56, 706 (1997).
  18. S. A. Ramsey and B. L. Hu, Phys. Rev. D 56, 678 (1997).
  19. J. Baacke, K. Heitmann, and C. Pätzold, Phys. Rev. D 56, 6556 (1997).
  20. B. A. Bassett and S. Liberati, “Geometric Reheating after Inflation,” hep-ph/9709417.
  21. See, e.g., W. H. Zurek, Phys. Rep. 276, 177 (1996).
  22. J. Baacke, K. Heitmann, and C. Pätzold, Phys. Rev. D 55, 2320 (1997).
  23. E. C. G. Stueckelberg, Phys. Rev. 81, 130 (1951).
  24. N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Wiley, New York, 1980).
  25. K. Symanzik, Nucl. Phys. B190, 1 (1981).
  26. J. Schwinger, J. Math. Phys. 2, 407 (1961).
  27. L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1515 (1964) [Sov. Phys. JETP 20, 1018 (1965)].
  28. N. N. Bogoliubov and D. V. Shirkov, Quantum Fields (Benjamin/Cummings, Reading, MA, 1983).

Outline

Information

Phys. Rev. D 57, 6398– Published 15 May, 1998
  • Received 21 November 1997

© 1998 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation