On nets of local algebras on ℤ 4 , covariant with respect to the discrete Poincaré group ; causality and scattering theory

Hellmut Baumgärtel

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

  • Volume: 48, Issue: 4, page 311-323
  • ISSN: 0246-0211

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Baumgärtel, Hellmut. "On nets of local algebras on $\mathbb {Z}^4$, covariant with respect to the discrete Poincaré group ; causality and scattering theory." Annales de l'I.H.P. Physique théorique 48.4 (1988): 311-323. <http://eudml.org/doc/76403>.

@article{Baumgärtel1988,
author = {Baumgärtel, Hellmut},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {nets of local algebras; Poincaré group; CCR-Weyl-algebras; phase spaces; LSZ-scattering process},
language = {eng},
number = {4},
pages = {311-323},
publisher = {Gauthier-Villars},
title = {On nets of local algebras on $\mathbb \{Z\}^4$, covariant with respect to the discrete Poincaré group ; causality and scattering theory},
url = {http://eudml.org/doc/76403},
volume = {48},
year = {1988},
}

TY - JOUR
AU - Baumgärtel, Hellmut
TI - On nets of local algebras on $\mathbb {Z}^4$, covariant with respect to the discrete Poincaré group ; causality and scattering theory
JO - Annales de l'I.H.P. Physique théorique
PY - 1988
PB - Gauthier-Villars
VL - 48
IS - 4
SP - 311
EP - 323
LA - eng
KW - nets of local algebras; Poincaré group; CCR-Weyl-algebras; phase spaces; LSZ-scattering process
UR - http://eudml.org/doc/76403
ER -

References

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  1. [1] H. Baumgärtel, M. Wollenberg, A Class of Nontrivial Weakly Local Massive Wightman Fields with Interpolating Properties. Comm. Math. Phys., t. 94, 1984, p. 331-352. Zbl0578.47007MR763383
  2. [2] S. Doplicher, An algebraic spectrum condition. Comm. Math. Phys., t. 1, 1965, p. 1-5. Zbl0137.45504MR182334
  3. [3] A. Schild, Discrete space-time and integral Lorentz transformations. Canadian J. Math., t. 1, 1949, p. 29-47. Zbl0038.40402MR29310
  4. [4] O. Bratteli, D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics II. Springer Verlag, New York, Heidelberg, Berlin, 1981. Zbl0463.46052MR611508
  5. [5] H. Baumgärtel, On the existence of measures connected with causality for quantum fields on lattices. Math. Nachr. to appear. Zbl0686.28002MR1018237
  6. [6] M. Wollenberg, On Smooth Asymptotic Constants for the Poincare Group II. To be published. Zbl0644.47009

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