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Some general properties of representations of local currents

✍ Scribed by P.P Divakaran

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 726 KB
Volume: 72
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(72)90225-4

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✦ Synopsis

Some properties of representations of local current operators are studied. The currents are assumed to be conserved and to have charge densities transforming like the regular representation of any internal symmetry group G containing the isospin SU, . The representation space is the "physical" Hilbert space, having a positive definite metric and carrying time-like positive-energy representations of the Poincare group. The main results are that in every irreducible representation space, (A) arbitrarily large irreducible representations of G must occur, and (B) the mass spectrum is unbounded and continuous from some point onwards if it is not strictly degenerate. These results have strong implications for current algebra saturation schemes, both at finite and infinite momentum.

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