Algebraic quantum field theory and noncommutative moment problems. II

J. Yngvason

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

  • Volume: 48, Issue: 2, page 161-173
  • ISSN: 0246-0211

How to cite

top

Yngvason, J.. "Algebraic quantum field theory and noncommutative moment problems. II." Annales de l'I.H.P. Physique théorique 48.2 (1988): 161-173. <http://eudml.org/doc/76394>.

@article{Yngvason1988,
author = {Yngvason, J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {algebraic quantum field theory; noncommutative moment problems; strongly positive, linear functionals on partially symmetric tensor algebras; Borchers test function algebra; locality ideal; separating family of finite dimensional representations; kernels of the translationally invariant, strongly positive functionals; minimal intersection},
language = {eng},
number = {2},
pages = {161-173},
publisher = {Gauthier-Villars},
title = {Algebraic quantum field theory and noncommutative moment problems. II},
url = {http://eudml.org/doc/76394},
volume = {48},
year = {1988},
}

TY - JOUR
AU - Yngvason, J.
TI - Algebraic quantum field theory and noncommutative moment problems. II
JO - Annales de l'I.H.P. Physique théorique
PY - 1988
PB - Gauthier-Villars
VL - 48
IS - 2
SP - 161
EP - 173
LA - eng
KW - algebraic quantum field theory; noncommutative moment problems; strongly positive, linear functionals on partially symmetric tensor algebras; Borchers test function algebra; locality ideal; separating family of finite dimensional representations; kernels of the translationally invariant, strongly positive functionals; minimal intersection
UR - http://eudml.org/doc/76394
ER -

References

top
  1. [1] J. Alcántara and J. Yngvason, Algebraic quantum field theory and noncommutative moment problems I. Ann l'Inst. H. Poincaré, t. 48, 1988, p. 147. Zbl0653.46071MR952659
  2. [2] 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
  3. [3] J. Yngvason, Invariant states on Borchers' tensor algebra. Ann. L'Inst. H. Poincaré, t. 45, 1986, p. 117. Zbl0639.46067MR866912
  4. [4] H.J. Borchers and J. Yngvason, Necessary and sufficient conditions for integral representations of Wightman functionals at Schwinger points. Commun. Math. Phys., t. 47, 1976, p. 197. Zbl0319.46060MR479134
  5. [5] J. Diximier, Les C*-algèbres et leurs représentations. Paris, Gauthier-Villars, 1969. Zbl0174.18601MR246136
  6. [6] J. Yngvason, On the algebra of test functions for quantum fields. Commun. Math. Phys., t. 34, 1973, p. 315. Zbl0269.46031MR334750
  7. [7] 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
  8. [8] M. Takesaki, Theory of Operator Algebras. I. New York, Heidelberg, Berlin, Springer, 1979. Zbl0436.46043MR548728
  9. [9] R.T. Powers, Selfadjoint algebras of unbounded operators. II. Trans. Am. Math. Soc., t. 187, 1974, p. 261. Zbl0296.46059MR333743
  10. [10] H.J. Borchers, Algebraic aspects of Wightman field theory. In: Statistical Mechanics and Field theory, ed. by R. N. Sen and C. Weil. New York, Halsted Press, 1972. Zbl0264.46061
  11. [11] G.C. Hegerfeldt, Noncommutative analogs of probabilistic notions and results. J. Func. Anal., t. 64, 1985, p. 436. Zbl0582.46062MR813209
  12. [12] G.C. Hegerfeldt, Prime field decompositions and infinitely divisible fields on Borchers tensor algebra. Commun. Math. Phys., t. 45, 1975, p. 137. Zbl0315.46065MR432082
  13. [13] H.J. Borchers, On the algebra of test functions. Prépubl. RCP n° 25, vol. 15, Strasbourg, 1973. 
  14. [14] G. Lassner, On the structure of the test function algebra. JINR preprint E 2-5254, Dubna, 1970. 
  15. [15] A.L. Peressini, Ordered Topological Vector Spaces. New York, Harper and Row, 1967. Zbl0169.14801MR227731

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.