File(s) not publicly available
On the structure of the observable algebra of QCD on the lattice
journal contribution
posted on 2023-05-16, 17:02 authored by Peter JarvisPeter Jarvis, Kijowski, J, Rudolph, GThe structure of the observable algebra of lattice QCD in the Hamiltonian approach is investigated. As was shown earlier, is isomorphic to the tensor product of a gluonic C*-subalgebra, built from gauge fields and a hadronic subalgebra constructed from gauge-invariant combinations of quark fields. The gluonic component is isomorphic to a standard CCR algebra over the group manifold SU(3). The structure of the hadronic part, as presented in terms of a number of generators and relations, is studied in detail. It is shown that its irreducible representations are classified by triality. Using this, it is proved that the hadronic algebra is isomorphic to the commutant of the triality operator in the enveloping algebra of the Lie superalgebra sl(1/n) (factorized by a certain ideal). © 2005 IOP Publishing Ltd.
Funding
Australian Research Council
History
Publication title
Journal of Physics A: Mathematical and GeneralVolume
38Issue
23Pagination
5359-5377ISSN
0305-4470Department/School
School of Natural SciencesPublisher
IOP Publishing LtdPlace of publication
Bristol, EnglandRepository Status
- Restricted