Invariant states on Borchers' tensor algebra

Jakob Yngvason

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 45, Issue: 2, page 117-145
  • ISSN: 0246-0211

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Yngvason, Jakob. "Invariant states on Borchers' tensor algebra." Annales de l'I.H.P. Physique théorique 45.2 (1986): 117-145. <http://eudml.org/doc/76333>.

@article{Yngvason1986,
author = {Yngvason, Jakob},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {states, invariant under various groups of space-time transformations, on the test function algebra for quantum fields; intersection of kernels; locality condition; translational invariance; spectrum condition; Poincaré invariance},
language = {eng},
number = {2},
pages = {117-145},
publisher = {Gauthier-Villars},
title = {Invariant states on Borchers' tensor algebra},
url = {http://eudml.org/doc/76333},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Yngvason, Jakob
TI - Invariant states on Borchers' tensor algebra
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 2
SP - 117
EP - 145
LA - eng
KW - states, invariant under various groups of space-time transformations, on the test function algebra for quantum fields; intersection of kernels; locality condition; translational invariance; spectrum condition; Poincaré invariance
UR - http://eudml.org/doc/76333
ER -

References

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  1. [1] J. Yngvason, Commun. Math. Phys., t. 81, 1981, p. 401-418. Zbl0498.46052MR634161
  2. [2] J. Yngvason, Publ. RIMS, Kyoto Univ., t. 20, 1984, p. 1063-1081. Zbl0598.46047MR764348
  3. [3] A. Ostendorf, Ann. Inst. Henri Poincaré, t. 40, 1984, p. 273-291. MR770084
  4. [4] A.S. Wightman, in : Les Problèmes mathématiques de la théorie quantique des champs, CNRS conference, Lille, 1957. 
  5. [5] J. Yngvason, Commun. Math. Phys., t. 34, 1973, p. 315-333. Zbl0269.46031MR334750
  6. [6] J.J. Risler, C. R. Acad. Sci. Paris, t. 271, série A, 1970, p. 1171-1173. Zbl0211.53401MR274437
  7. [7] J. Yngvason, Euclidean Invariant Integral Representations for Schwinger Functionals, Journ. Math. Phys., t. 27, 1986, p. 311-320. MR816451
  8. [8] J. Yngvason, in: Proceedings of the VIIth International Conference on Mathematical Physics, Physica, t. 124 A, 1984, p. 621-628. 
  9. [9] H.J. Borchers, in: Proceedings of the VIIth International Conference on Mathematical Physics, Physica, t. 124 A, 1984, p. 127-144. Zbl0599.47071
  10. [10] H. Baumgärtel and M. Wollenberg, Commun. math. Phys., t. 94, 1984, p. 331-352. Zbl0578.47007MR763383
  11. [11] G.C. Hegerfeldt, Commun. math. Phys., t. 43, 1975, p. 137-151. Zbl0315.46065
  12. [12] H.J. Borchers, in: Statistical Mechanics and Field Theory, proceeding of the Haifa Conference 1971, ed. by R. Sen and C. Weil, New York, Halsted Pres, 1972. 
  13. [13] Takesaki, Theory of Operator Algebras I. Berlin, Heidelberg, New York, Springer, 1979. Zbl0436.46043
  14. [14] A.S. Wightman, in: Theoretical Physics, Proceedings of the IAEA Conference, Trieste, 1962. 
  15. [15] H.J. Borchers and J. Yngvason, Commun. Math. Phys., t. 43, 1975, p. 255-271. Zbl0307.46054MR383099
  16. [16] D. Dubin and J. Alcantara, I*-algebras and their Applications, Publ. RIMS, Kyoto Univ., t. 17, 1981, p. 179-199. Zbl0456.46043MR613941

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