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On the structure of the observable algebra of QCD on the lattice

Citation

Jarvis, PD and Kijowski, J and Rudolph, G, On the structure of the observable algebra of QCD on the lattice, Journal of Physics A: Mathematical and General, 38, (23) pp. 5359-5377. ISSN 0305-4470 (2005) [Refereed Article]

DOI: doi:10.1088/0305-4470/38/23/020

Abstract

The 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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Other Physical Sciences
Research Field:Physical Sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Jarvis, PD (Dr Peter Jarvis)
ID Code:36017
Year Published:2005
Funding Support:Australian Research Council (DP0208808)
Web of Science® Times Cited:10
Deposited By:Physics
Deposited On:2005-08-01
Last Modified:2006-03-29
Downloads:0

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