- 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

Weak and strong quantum vacuum: Properties of the different vacua

Mario A. Castagnino

Luis Chimento

  • Instituto de Astronomia y Fisica del Espacio Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina and Instituto de Fisica Rosario, Av. Pellegrini 250, 2000 Rosario, Argentina

  • Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, Argentina

PDF

Phys. Rev. D 34, 3676 – Published 15 December, 1986

DOI: https://doi.org/10.1103/PhysRevD.34.3676

Abstract

The ideas, definitions, and results of Castagnino and of Castagnino and Mazzitelli are improved and developed in a more general geometry. Also, a more satisfactory definition of the weak vacuum (defined by the coincidence of a local and a global property up to the lowest order) is introduced which yields a renormalization vacuum expectation value of the energy-momentum tensor. It is proved that a strong vacuum (defined by the same coincidence up to all orders) exists only in two particular cases: if there exists a Killing vector field or in the conformal massless case.

View figure in article

References (25)

  1. M. Castagnino, Gen. Relativ. Gravit. 15, 1149 (1983).
  2. M. Castagnino and F. D. Mazzitelli, Phys. Rev. D 31, 742 (1985).
  3. M. Castagnino, in Quantum Gravity, proceedings of the Third Seminar on Quantum Gravity, Moscow, 1984, edited by M. A. Markov, V. A. Berezin, and V. P. Frolov (World Scientific, Singapore, 1985).
  4. B. S. DeWitt, Phys. Rep. 19C, 297 (1975).
  5. L. Parker, Phys. Rev. 183, 1057 (1969).
  6. S. A. Fulling, Gen. Relativ. Gravit. 10, 807 (1979).
  7. S. M. Christensen, Phys. Rev. D 14, 2490 (1976).
  8. S. M. Christensen, Phys. Rev. D 17, 946 (1978).
  9. M. Castagnino, Gen. Relativ. Gravit. 9, 101 (1978).
  10. C. Bernard and S. Duncan, Ann. Phys. (N.Y.) 107, 201 (1977).
  11. N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).
  12. M. R. Brown ad C. R. Dutton, Phys. Rev. D 18, 4422 (1978).
  13. D. Deutsch and A. M. Najmi, Phys. Rev. D 28, 1907 (1983).
  14. M. R. Brown, J. Math. Phys. 25, 136 (1984).
  15. A. M. Najmi and A. C. Ottewill, Phys. Rev. D 30, 1733 (1984).
  16. A. M. Najmi and A. C. Ottewill, Gen. Relativ. Gravit. 17, 573 (1985).
  17. J. Hadamard, Lectures on Cauchy Problem in Linear Partial Differential Equations (Yale University Press, New Haven, CT, 1923).
  18. B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960).
  19. M. Castagnino, D. Harari, and C. Nú ñez, in Unification of the Fundamental Particle Interactions—II, edited by J. Ellis and S. Ferrara (Ettore Majorana Science Series—Physical Sciences, Vol. 15) (Plenum, New York, 1983).
  20. M. R. Brown, Class. Quant. Gravit. 2, 535 (1985).
  21. M. Castagnino, L. P. Chimento, D. Harari, Phys. Rev. D 24, 290 (1981).
  22. M. Castagnino, A. Verbeure and R. Weder, Nuovo Cimento, B26, 396 (1975).
  23. S. G. Manaev, V. M. Mostepanenko and A. A. Starobinski, Zh. Eksp. Teor. Fiz. 70, 1577 (1976) [Sov. Phys.—JETP 43, 823 (1976)].
  24. P. Anderson III, Phys. Rev. D 32, 1302 (1985).
  25. M. Castagnino and L. Chimento, Gen. Relativ. Gravit. 18, 193 (1986).

Outline

Information

Phys. Rev. D 34, 3676– Published 15 December, 1986
  • Received 24 February 1986

© 1986 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation