Axioms of algebra of observables and the field concept
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 3-20
Cet article a éte moissonné depuis la source Math-Net.Ru
The most recent developments in the axiomatic algebraic approach to quantum field theory are briefly reviewed. The algebraic description of relativistic quantum systems with superselection rules is considered and the procedure, due to Doplicher, Haag, and Roberts, for constructing quantized fields on the basis of the algebraic theory of local observables is sketched.
@article{TMF_1973_16_1_a0,
author = {M. K. Polivanov and V. N. Sushko and S. S. Horuzhy},
title = {Axioms of algebra of observables and the field concept},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {3--20},
year = {1973},
volume = {16},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a0/}
}
TY - JOUR AU - M. K. Polivanov AU - V. N. Sushko AU - S. S. Horuzhy TI - Axioms of algebra of observables and the field concept JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1973 SP - 3 EP - 20 VL - 16 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a0/ LA - ru ID - TMF_1973_16_1_a0 ER -
M. K. Polivanov; V. N. Sushko; S. S. Horuzhy. Axioms of algebra of observables and the field concept. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 3-20. http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a0/
[1] H. J. Borchers, Commun. Math. Phys., 1 (1965), 281 | DOI | MR | Zbl
[2] S. Doplicher, R. Haag, J. E. Roberts, Commun. Math. Phys., 13 (1969), 1 | DOI | MR | Zbl
[3] S. Doplicher, R. Haag, J. E. Roberts, Commun. Math. Phys., 15 (1969), 173 | DOI | MR | Zbl
[4] S. Doplicher, R. Haag, J. E. Roberts, Commun. Math. Phys., 23 (1971), 199 | DOI | MR
[5] V. N. Sushko, S. S. Khoruzhii, TMF, 4 (1970), 341
[6] V. N. Sushko, S. S. Khoruzhii, TMF, 13 (1972), 291 ; S. S. Horuzhy, V. N. Sushko, Preprint JINR, E2-5575, Dubna, 1971 | Zbl
[7] J. M. Knight, J. Math. Phys., 2 (1961), 459 | DOI | MR | Zbl
[8] R. F. Streater, J. Wilde, Nucl. Phys., 24 (1970), 561 | DOI
[9] A. S. Uaitman, Problemy v relyativistskoi dinamike kvantovannykh polei, «Nauka», 1969