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Analytic vectors, anomalies and star representations

โœ Scribed by Carlos Alcalde; Daniel Sternheimer

Book ID
104758675
Publisher
Springer
Year
1989
Tongue
English
Weight
589 KB
Volume
17
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

It is hinted that anomalies are not really anomalous since (at least in characteristic examples) they can be related to a lack of common analytic vectors for the Hamiltonian and the observables. We reanalyze the notions of analytic vectors and of local representations of Lie algebras in this light, and show how the notion of preferred observables introduced in the deformation (star product) approach to quantization may help give an anomaly-free formulation to physical problems. Finally, some remarks are made concerning the applicability of these considerations to field theory, especially in two dimensions.

๐Ÿ“œ SIMILAR VOLUMES

Analytic vectors and irreducible represe
Analytic vectors and irreducible representations of nilpotent Lie groups and algebras
โœ D. Arnal ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Springer ๐ŸŒ English โš– 240 KB

Let U be a unitary irreducible locally faithful representation of a nilpotent Lie group G, ~ the universal enveloping algebra of G, M a simple module on o//with kernel Ker dU, then there exists an automorphism of q/keeping ker dU invariant such that, after transport of structure, M is isomorphic to