Abstract
In the traditional field theoretic approach (which in algebraic guise was summarized in III.1) we deal with a Hilbert space H(u) which contains all superselection sectors as subspaces (the index u was added to indicate “universal”) and we deal with a larger algebra 𝔉 (denoted by 𝒜 in III.1) acting irreducibly on H(u). It contains besides the observables also operators mapping from one coherent subspace to a different one (“charge carrying fields”). Furthermore there is a faithful, strongly continuous representation of a compact group, the global gauge group 𝒢, by unitary operators in ℬ(H(u)), singling out the observables in 𝓕 as the invariant elements under the action induced by π(u) (𝒢). In other words
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© 1992 Springer-Verlag Berlin Heidelberg
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Haag, R. (1992). Global Gauge Group and Charge Carrying Fields. In: Local Quantum Physics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97306-2_18
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DOI: https://doi.org/10.1007/978-3-642-97306-2_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-97308-6
Online ISBN: 978-3-642-97306-2
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