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
Access Full Article
topHow to cite
topAlcantara-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
top- [1] A.S. Wightman and L. Gårding, Fields as operator valued distributions in relativistic quantum field theory. Ark. f Fys., t. 28, 1965, p. 129. Zbl0138.45401
- [2] R. Haag and D. Kastler, An algebraic approach to quantum field theory. J. Math. Phys., t. 5, 1964, p. 848. Zbl0139.46003MR165864
- [3] H. Araki, Einführung in die axiomatische Quantenfeldtheorie. ETH Zürich1961-1962.
- [4] H.J. Borchers and W. Zimmermann, On the self-adjointness of field operators. Nuovo Cim., t. 31, 1963, p. 1047. Zbl0151.44303MR161607
- [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] Fredenhagen and J. Hertel, Local algebras of observables and pointlike localized fields. Commun. Math. Phys., t. 80, 1981, p. 555. Zbl0472.46051MR628511
- [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] 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] 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] H.J. Borchers, On the structure of the algebra of field operators. Nuovo Cim,. t. 24, 1962, p. 214. Zbl0129.42205MR142320
- [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] G. Choquet, Lectures on Analysis, vol. 2, New York, Benjamin, 1984.
- [13] H. Araki and G.A. Elliott, On the definition of C*-algebras. Publ. RIMS Kyoto, t. 9, 1973, p. 93. Zbl0272.46033MR355611
- [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] H.J. Borchers, C*-algebras and automorphism groups. Commun. Math. Phys., t. 88, 1983, p. 95. Zbl0524.46047MR691200
- [16] G.K. Pedersen, C*-algebras and their Automorphism Groups. London, New York, San Francisco, Academic Press, 1979. Zbl0416.46043MR548006
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.