Fields and algebras of observables in models with superselection rules
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 291-306
Voir la notice de l'article provenant de la source Math-Net.Ru
Simple models of the Doplicher–Haag–Roberts theory are studied, in which
the field algebra and the observable algebra coexist, the latter being defined as the
gauge-invariant part of the former. In this part of the work we consider the abelian
model with the gauge group $SU(1)$. Duality for the nets of local algebras is proved
in the abelian coherent sectors, using the twisting operation for the field algebras.
Intertwining operators of coherent sectors are extended to unitary operators on the
Fock space of states according to the Doplicher–Haag–Roberts scheme and the
commutation relations are derived for these unitary extensions. It turns out that in the
abelian model all the intertwining operators satisfy normal commutation relations and
can be interpreted as boson or fermion fields in correspondence with the number of the
charge quanta they transport.
@article{TMF_1975_25_3_a0,
author = {S. S. Horuzhy},
title = {Fields and algebras of observables in models with superselection rules},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {291--306},
publisher = {mathdoc},
volume = {25},
number = {3},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a0/}
}
S. S. Horuzhy. Fields and algebras of observables in models with superselection rules. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 291-306. http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a0/