Infrared representations of free Bose fields

S. Doplicher; F. Figliolini; D. Guido

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 41, Issue: 1, page 49-62
  • ISSN: 0246-0211

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Doplicher, S., Figliolini, F., and Guido, D.. "Infrared representations of free Bose fields." Annales de l'I.H.P. Physique théorique 41.1 (1984): 49-62. <http://eudml.org/doc/76250>.

@article{Doplicher1984,
author = {Doplicher, S., Figliolini, F., Guido, D.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {free massless Bose fields; positive energy representations; vacuum representation; AFD factor; infrared state; represenations of the Weyl relations on a prehilbert space with a; distinguished infinite orthonormal set; properly infinite AFD von Neumann algebra; represenations of the Weyl relations on a prehilbert space with a distinguished infinite orthonormal set},
language = {eng},
number = {1},
pages = {49-62},
publisher = {Gauthier-Villars},
title = {Infrared representations of free Bose fields},
url = {http://eudml.org/doc/76250},
volume = {41},
year = {1984},
}

TY - JOUR
AU - Doplicher, S.
AU - Figliolini, F.
AU - Guido, D.
TI - Infrared representations of free Bose fields
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 41
IS - 1
SP - 49
EP - 62
LA - eng
KW - free massless Bose fields; positive energy representations; vacuum representation; AFD factor; infrared state; represenations of the Weyl relations on a prehilbert space with a; distinguished infinite orthonormal set; properly infinite AFD von Neumann algebra; represenations of the Weyl relations on a prehilbert space with a distinguished infinite orthonormal set
UR - http://eudml.org/doc/76250
ER -

References

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  1. [1] S. Doplicher, Fock representation and masless particles. Commun. Math. Phys., t. 3, 1966, p. 328. 
  2. [2] S. Doplicher, M. Spera, Representations obeying the spectrum condition. Commun. Math. Phys., t. 84, 1982, p. 505. Zbl0515.46064MR667757
  3. [3] S. Doplicher, M. Spera, Local normality properties of some infrared representations. Commun. Math. Phys., t. 89, 1983, p. 19. Zbl0523.46045MR707769
  4. [4] D. Buchholz, The physical state space of Quantum electrodynamics. Commun. Math. Phys., t. 85, 1982, p. 49. Zbl0506.46052MR667767
  5. [5] D. Buchholz, S. Doplicher, Exotic infrared representations of interacting systems. Ann. Inst. Henri Poincaré, 1984. Zbl0553.46049MR747201
  6. [6] I.E. Segal, Tensor algebras over Hilbert spaces 1, Trans. Amer. Math. Soc., t. 81, 1956, p. 106. Zbl0070.34003MR76317
  7. [7] M. Reed, B. Simon, Modern Methods in mathematical Physics, New York, Academic Press, 1975, Vol. II. Zbl0308.47002
  8. [8] J. Dixmier, Von Neumann Algebras. Amsterdam, North Holland, 1981. Zbl0473.46040MR641217
  9. [9] O. Marechal, Une remarque sur un théorème de Glimm. Bull. Sci. Math., t. 99, 1975, p. 41. Zbl0304.46035MR430797
  10. [10] R.T. Powers, Representations of uniformly hyperfinite algebras and their associated rings. Ann. Math., t. 86, 1967, p. 138. Zbl0157.20605MR218905
  11. [11] A. Connes, Proceedings of Symposia in Pure Mathematics, t. 38, 1982, Part. 2. 
  12. [12] H. Araki, On quasifree states of CCR, I, II, Publ. RIMS, Kyoto Univ., t. 7, 1971- 1972, p. 105. Zbl0239.46066MR313834
  13. [13] R.T. Powers, E. Størmer, Free states of the CAR. Commun. Math. Phys., t. 16, 1970, p. 1. Zbl0186.28301MR269230
  14. [14] J. Glimm, A Stone Weierstrass theorem for C*-algebras. Bull. Sci. Math., t. 99, 1975, p. 41. 
  15. [15] J. Dixmier, C*-algebras and their representations, Amsterdam, New YorkOxford, North-Holland, 1980. 
  16. [16] R. Haag, R.V. Kadison, D. Kastler, Nets of C*-algebras and classification of states. Commun. Math. Phys., t. 16, 1970, p. 11. Zbl0186.28302MR269224
  17. [17] H.J. Borchers, In Cargese Lectures on Theoretical Physics, 1969, D. Kastler (ed.), New York, London, Paris: Gordon and Breach, 1970. MR455984
  18. [18] J. Fröhlich, Unpublished. 
  19. [19] J. Fröhlich, G. Morchio, F. Strocchi, Charged sectors and scattering states in Quantum Electrodynamics, Ann. Phys., t. 119, 1979, p. 241. MR539147
  20. [20] K. Kraus, L. Polley, G. Reents, Generators of infinite direct products of unitary groups. J. Math. Phys., t. 18, 1977, p. 2166. MR454735

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