Concerning the condition of additivity in quantum field theory

Stephen J. Summers; Eyvind H. Wichmann

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 47, Issue: 2, page 113-124
  • ISSN: 0246-0211

How to cite

top

Summers, Stephen J., and Wichmann, Eyvind H.. "Concerning the condition of additivity in quantum field theory." Annales de l'I.H.P. Physique théorique 47.2 (1987): 113-124. <http://eudml.org/doc/76374>.

@article{Summers1987,
author = {Summers, Stephen J., Wichmann, Eyvind H.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {additivity for local von Neumann algebras; local quantum field theory; algebras of observables associated with wedge-shaped regions in Minkowski space-time; minimal net generated by the quantum field},
language = {eng},
number = {2},
pages = {113-124},
publisher = {Gauthier-Villars},
title = {Concerning the condition of additivity in quantum field theory},
url = {http://eudml.org/doc/76374},
volume = {47},
year = {1987},
}

TY - JOUR
AU - Summers, Stephen J.
AU - Wichmann, Eyvind H.
TI - Concerning the condition of additivity in quantum field theory
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 47
IS - 2
SP - 113
EP - 124
LA - eng
KW - additivity for local von Neumann algebras; local quantum field theory; algebras of observables associated with wedge-shaped regions in Minkowski space-time; minimal net generated by the quantum field
UR - http://eudml.org/doc/76374
ER -

References

top
  1. [1] R. Haag, Discussion des « axiomes » et des propriétés asymptotiques d'une théorie des champs locale avec particules composées, in Colloque International sur les Problèmes Mathématiques sur la Théorie Quantique des Champs, Lille, 1957, Centre National de la Recherche Scientifique, Paris, 1959. Zbl0090.19402
  2. [2] R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys., t. 5, 1964, p. 848-861. Zbl0139.46003MR165864
  3. [3] H. Araki, On the algebra of all local observables. Prog. Theor. Phys., t. 32, 1964, p. 844-854. Zbl0125.21904MR182329
  4. [4] H. Araki, Local quantum theory, I, in Local Quantum Theory, ed. R. Jost, Academic Press, New York, 1969. 
  5. [5] S. Doplicher, R. Haag and J.E. Roberts, Fields, observables and gauge transformations, I, Commun. Math. Phys., t. 13, 1969, p. 1-23 ; II, Commun. Math. Phys., t. 15, 1969, p. 173-200. Zbl0175.24704MR258394
  6. [6] J.E. Roberts, Localization in algebraic field theory, Commun. Math. Phys., t. 85, 1982, p. 87-98. Zbl0509.47036MR667769
  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. 49-84. Zbl0595.46062MR847127
  8. [8] R.F. Streater and A.S. Wightmann, PCT, Spin and Statistics, and All That, Benjamin, New York, 1964. Zbl0135.44305MR161603
  9. [9] L.J. Landau, On local functions of fields, Commun. Math. Phys., t. 39, 1974, p. 49-62. Zbl0309.46055MR359600
  10. [10] E.H. Wichmann, On systems of local operators and the duality condition. J. Math. Phys., t. 24, 1983, p. 1633-1644. Zbl0542.46037MR708687
  11. [11] J.J. Bisognano and E.H. Wichmann, On the duality condition for a Hermitian scalar field. J. Math. Phys., t. 16, 1975, p. 985-1007. Zbl0316.46062MR438943
  12. [12] J.J. Bisognano and E.H. Wichmann, On the duality condition for quantum fields. J. Math. Phys., t. 17, 1976, p. 303-321. MR438944
  13. [13] P.D. Hislop and R. Longo, Modular structure of the local algebras associated with the free massless scalar field theory. Commun. Math. Phys., t. 84, 1982, p. 71-85. Zbl0491.46060MR660540
  14. [14] W.-D. Garber, The connexion of duality and causal properties for generalized free fields. Commun. Math. Phys., t. 42, 1975, p. 195-208. Zbl0304.46045MR376001
  15. [15] H. Araki, A generalization of Borcher's Theorem. Helv. Phys. Acta, t. 36, 1963, p. 132-139. Zbl0112.43203MR153340
  16. [16] R. Haag, Local relativistic quantum physics. Physica, t. 124A, 1984, p. 357-364. MR759190

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.