ON THE STRUCTURE OF THE OBSERVABLE ALGEBRA FOR QED ON THE LATTICE

Authors
KIJOWSKI J RUDOLPH G SLIWA C
Citation
J. Kijowski et al., ON THE STRUCTURE OF THE OBSERVABLE ALGEBRA FOR QED ON THE LATTICE, letters in mathematical physics, 43(4), 1998, pp. 299-308
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
43
Issue
4
Year of publication
1998
Pages
299 - 308
Database
ISI
SICI code
0377-9017(1998)43:4<299:OTSOTO>2.0.ZU;2-5
Abstract
We prove that the matter field subalgebra of the observable algebra fo r QED on a finite lattice is isomorphic to the enveloping algebra of t he Lie algebra sl(2N, C), factorized by a certain ideal. Using this re sult, we give a new proof of the decomposition of the physical Hilbert space into charge superselection sectors.