Tomita conjugations and transitivity of locality

Jakob Yngvason

Annales de l'I.H.P. Physique théorique (1996)

  • Volume: 64, Issue: 4, page 395-408
  • ISSN: 0246-0211

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Yngvason, Jakob. "Tomita conjugations and transitivity of locality." Annales de l'I.H.P. Physique théorique 64.4 (1996): 395-408. <http://eudml.org/doc/76724>.

@article{Yngvason1996,
author = {Yngvason, Jakob},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Tomita conjugation; von Neumann algebra; cyclic and separating vector; unbounded operators; quantum field theory; transitivity of locality; duality in quantum field theory; unbounded weak commutant},
language = {eng},
number = {4},
pages = {395-408},
publisher = {Gauthier-Villars},
title = {Tomita conjugations and transitivity of locality},
url = {http://eudml.org/doc/76724},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Yngvason, Jakob
TI - Tomita conjugations and transitivity of locality
JO - Annales de l'I.H.P. Physique théorique
PY - 1996
PB - Gauthier-Villars
VL - 64
IS - 4
SP - 395
EP - 408
LA - eng
KW - Tomita conjugation; von Neumann algebra; cyclic and separating vector; unbounded operators; quantum field theory; transitivity of locality; duality in quantum field theory; unbounded weak commutant
UR - http://eudml.org/doc/76724
ER -

References

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  1. [1] H.J. Borchers and J. Yngvason, Transitivity of locality and duality in quantum field theory. Some modular aspect, Rev. Math. Phys., Vol. 6, 1994, pp. 597-619. Zbl0814.46065MR1290690
  2. [2] H.J. Borchers and J. YngvasonFrom Quantum Fields to Local von Neumann Algebras, Rev. Math. Phys., Special Issue, 1992, pp. 15-47. Zbl0785.46062MR1199168
  3. [3] H.J. Borchers and W. Zimmermann, On the Self-Adjointness of Field Operators, Nuovo Cimento, Vol. 31, 1964, pp. 1047-1059. Zbl0151.44303MR161607
  4. [4] D. Buchholz and K. Fredenhagen, Locality and the structure of particle states, Commun. Math. Phys., Vol. 84, 1982, pp. 1-54. Zbl0498.46061MR660538
  5. [5] W. Driessler and J. Fröhlich, The reconstruction of local observable algebras from Euclidean Green's functions of relativistic quantum field theory, Ann. Inst. Henri Poincaré, Vol. 27, 1977, pp. 221-236. Zbl0364.46051MR484123
  6. [6] J. Glimm and A. JaffeA. Quantum Physics, Berlin-Heidelberg-New York: Springer, 1981. Zbl0461.46051MR628000
  7. [7] W. Driessler, S. Summers and E.H. Wichmann, On the Connection between Quantum Fields and von Neumann Algebras of Local Observables, Commun. Math. Phys., Vol. 105, 1986, pp. 49-84. Zbl0595.46062MR847127
  8. [8] D. Buchholz, On Quantum Fields that Generate Local Algebras, J. Math. Phys., Vol. 31, 1990, pp. 1839-1846. Zbl0708.46061MR1067624
  9. [9] H.J. Borchers and J. Yngvason, Positivity of Wightman Functionals and the Existence of Local Nets, Commun. Math. Phys., Vol. 127, 1990, pp. 607-615. Zbl0715.46044MR1040898
  10. [10] J. Bisognano and E.H. Wichmann, On the duality condition for a Hermitean scalar field, J. Math. Phys., Vol. 16, 1975, pp. 985-1007. Zbl0316.46062MR438943
  11. [11] J. Bisognano and E.H. Wichmann, On the duality condition for quantum fields, J. Math. Phys., Vol. 17, 1976, pp. 303-321. MR438944
  12. [12] H.-J. Borchers, Über die Mannigfaltigkeit der interpolierenden Felder zu einer kausalen S-Matrix, Il Nuovo Cimento, Vol. 15, 1960, pp. 784-794. Zbl0093.44002MR115693
  13. [13] R.V. Kadison and J.R. Ringrose, Fundamentals of the Theory of Operator Algebras II, New York: Academic press, 1986. Zbl0601.46054MR859186
  14. [14] R.T. Powers, Self-Adjoint Algebras of Unbounded Operators, II, Trans. Am. Math. Soc., Vol. 187, 1974, pp. 261-293. Zbl0296.46059
  15. [15] J. Roberts, Spontanously broken gauge symmetries and superselection rules, in International School of Mathematical Physics, Universita' di Camerino, 1974. 

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