Global properties of vacuum states in de Sitter space

H. J. Borchers; D. Buchholz

Annales de l'I.H.P. Physique théorique (1999)

  • Volume: 70, Issue: 1, page 23-40
  • ISSN: 0246-0211

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Borchers, H. J., and Buchholz, D.. "Global properties of vacuum states in de Sitter space." Annales de l'I.H.P. Physique théorique 70.1 (1999): 23-40. <http://eudml.org/doc/76811>.

@article{Borchers1999,
author = {Borchers, H. J., Buchholz, D.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {vacuum states; de Sitter space; equilibrium states; global properties; geodesic temperature; symmetry; global algebras of observables},
language = {eng},
number = {1},
pages = {23-40},
publisher = {Gauthier-Villars},
title = {Global properties of vacuum states in de Sitter space},
url = {http://eudml.org/doc/76811},
volume = {70},
year = {1999},
}

TY - JOUR
AU - Borchers, H. J.
AU - Buchholz, D.
TI - Global properties of vacuum states in de Sitter space
JO - Annales de l'I.H.P. Physique théorique
PY - 1999
PB - Gauthier-Villars
VL - 70
IS - 1
SP - 23
EP - 40
LA - eng
KW - vacuum states; de Sitter space; equilibrium states; global properties; geodesic temperature; symmetry; global algebras of observables
UR - http://eudml.org/doc/76811
ER -

References

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  1. [1] W.G. Unruh, Notes on black hole evaporation, Phys. Rev., Vol. D14, 1976, pp. 870-892. 
  2. [2] G.W. Gibbons and S. Hawking, Cosmological event horizons, thermodynamics and particle creation, Phys. Rev., Vol. D15, 1977, pp. 2738-2751. MR459479
  3. [3] J.J. Bisognano and E.H. Wichmann, On the duality condition for a hermitian scalar field, J. Math. Phys., Vol. 16, 1975, pp. 985-1007. Zbl0316.46062MR438943
  4. [4] G.L. Sewell, PCT and gravitationally induced thermal states, Ann. Phys. (N.Y.), Vol. 141, 1982, pp. 201-224. MR673980
  5. [5] H. Narnhofer, I. Peter and W. Thirring, How hot is the de Sitter space?, Int. J. Mod. Phys. B, Vol. 10, 1996, pp. 1507-1520. Zbl1229.81205MR1405180
  6. [6] J. Bros and U. Moschella, Two point functions and de Sitter quantum fields, Rev. Math. Phys., Vol. 8, 1996, pp. 327-391. Zbl0858.53054MR1388256
  7. [7] J. Bros, H. Epstein and U. Moschella, Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time, Commun. Math. Phys., Vol. 196, 1998, pp. 535-570. Zbl1060.81542MR1645200
  8. [8] R. Haag, Local Quantum Physics, Berlin: Springer1996. Zbl0857.46057MR1405610
  9. [9] E.W. Mielke, Quantenfeldtheorie im de Sitter-Raum, Fortschr. Physik, Vol. 25, 1977, pp. 401-457. MR465061
  10. [10] E. Nelson, Analytic vectors, Ann. Math., Vol. 70, 1959, pp. 572-615. Zbl0091.10704MR107176
  11. [11] M. Reed and B. Simon, Methods of modern mathematical physics I, New York: Academic Press, 1972. Zbl0242.46001MR751959
  12. [12] R. Haag, H. Narnhofer and U. Stein, On quantum field theory in gravitational background, Commun. Math. Phys., Vol. 94, 1984, pp. 219-238. MR761794
  13. [13] S.J. Summers and R. Verch, Modular inclusion, the Hawking temperature and quantum field theory in curved space-time, Lett. Math. Phys., Vol. 37, 1996, pp. 145-158. Zbl0844.53056MR1391196
  14. [14] W. Driessler, S.J. Summers and E.H. Wichmann, On the connection between quantum fields and von Neumann algebras of local operators, Commun. Math. Phys., Vol. 105, 1986, pp. 49-84. Zbl0595.46062MR847127
  15. [15] R.V. Kadison and J.R. Ringrose, Fundamentals of the theory of operator algebras. Volume II, New York: Springer, 1979. Zbl0869.46028
  16. [16] T. Kato, Perturbation theory for linear operators, Berlin: Springer, 1984. Zbl0531.47014MR407617
  17. [17] A. Connes, Une classification des facteurs de type III, Ann. Sci. Ecole Norm. Sup., Vol. 6, 1973, pp. 133-252. Zbl0274.46050MR341115

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