Algebraic quantum field theory and noncommutative moment problems. I

J. Alcantara-Bode; J. Yngvason

Annales de l'I.H.P. Physique théorique (1988)

  • Volume: 48, Issue: 2, page 147-159
  • ISSN: 0246-0211

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Alcantara-Bode, J., and Yngvason, J.. "Algebraic quantum field theory and noncommutative moment problems. I." Annales de l'I.H.P. Physique théorique 48.2 (1988): 147-159. <http://eudml.org/doc/76393>.

@article{Alcantara1988,
author = {Alcantara-Bode, J., Yngvason, J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {algebraic quantum field theory; noncommutative moment problems; Borchers' test function algebra; locality ideal; continuous -norm; faithful representation by bounded operators on Hilbert space; Poincaré- covariant},
language = {eng},
number = {2},
pages = {147-159},
publisher = {Gauthier-Villars},
title = {Algebraic quantum field theory and noncommutative moment problems. I},
url = {http://eudml.org/doc/76393},
volume = {48},
year = {1988},
}

TY - JOUR
AU - Alcantara-Bode, J.
AU - Yngvason, J.
TI - Algebraic quantum field theory and noncommutative moment problems. I
JO - Annales de l'I.H.P. Physique théorique
PY - 1988
PB - Gauthier-Villars
VL - 48
IS - 2
SP - 147
EP - 159
LA - eng
KW - algebraic quantum field theory; noncommutative moment problems; Borchers' test function algebra; locality ideal; continuous -norm; faithful representation by bounded operators on Hilbert space; Poincaré- covariant
UR - http://eudml.org/doc/76393
ER -

References

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  2. [2] R. Haag and D. Kastler, An algebraic approach to quantum field theory. J. Math. Phys., t. 5, 1964, p. 848. Zbl0139.46003MR165864
  3. [3] H. Araki, Einführung in die axiomatische Quantenfeldtheorie. ETH Zürich1961-1962. 
  4. [4] H.J. Borchers and W. Zimmermann, On the self-adjointness of field operators. Nuovo Cim., t. 31, 1963, p. 1047. Zbl0151.44303MR161607
  5. [5] W. Driessler and J. Fröhlich, The reconstruction of local observable algebras from the Euclidean Green's functions of relativistic quantum field theory. Ann. Inst. H. Poincaré, t. 27, 1977, p. 221. Zbl0364.46051MR484123
  6. [6] Fredenhagen and J. Hertel, Local algebras of observables and pointlike localized fields. Commun. Math. Phys., t. 80, 1981, p. 555. Zbl0472.46051MR628511
  7. [7] 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., t. 105, 1986, p. 49. Zbl0595.46062MR847127
  8. [8] M. Dubois-Violette, A generalization of the classical moment problem on *-algebras with applications to relativistic quantum theory. I. Commun. Math. Phys., t. 43, 1975, p. 225. Zbl0362.46044MR383100
  9. [9] M. Dubois-Violette, A generalization of the classical moment problem on *-algebras with applications to relativistic quantum theory. II. Commun. Math. Phys., t. 54, 1977, p. 151. Zbl0365.46060MR440369
  10. [10] H.J. Borchers, On the structure of the algebra of field operators. Nuovo Cim,. t. 24, 1962, p. 214. Zbl0129.42205MR142320
  11. [11] A. Uhlmann, Über die Definition der Quantenfelder nach Wightman und Haag. Wiss. Zeitschr., Karl Marx Univ., t. 11, 1962, p. 213. Zbl0119.43804MR141413
  12. [12] G. Choquet, Lectures on Analysis, vol. 2, New York, Benjamin, 1984. 
  13. [13] H. Araki and G.A. Elliott, On the definition of C*-algebras. Publ. RIMS Kyoto, t. 9, 1973, p. 93. Zbl0272.46033MR355611
  14. [14] J. Yngvason, On the locality ideal in the algebra of test functions for quantum fields. Publ. RIMS Kyoto, t. 20, 1984, p. 1063. Zbl0598.46047MR764348
  15. [15] H.J. Borchers, C*-algebras and automorphism groups. Commun. Math. Phys., t. 88, 1983, p. 95. Zbl0524.46047MR691200
  16. [16] G.K. Pedersen, C*-algebras and their Automorphism Groups. London, New York, San Francisco, Academic Press, 1979. Zbl0416.46043MR548006

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