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hep-thJul 29, 2008
8
citations (OpenAlex)
authors
  • Gerd Rudolph
  • Matthias Schmidt
institutions
  • Leipzig University
arXiv abstractPDF
paper

On the algebra of quantum observables for a certain gauge model

arXiv:0807.4646 · doi:10.1063/1.3125184

Abstract

We prove that the algebra of observables of a certain gauge model is generated by unbounded elements in the sense of Woronowicz. The generators are constructed from the classical generators of invariant polynomials by means of geometric quantization.

29 pages, 2 figures

References in corpus (8)

  • Geometric quantization and the generalized Segal-Bargmann transform for Lie groups of compact type
  • On the Gauss Law and Global Charge for QCD
  • Charge Superselection Sectors for QCD on the Lattice
  • A gauge model for quantum mechanics on a stratified space
  • On the gauge orbit space stratification (a review)
  • On the Structure of the Observable Algebra of QCD on the Lattice
  • Kirillov's character formula, the holomorphic Peter-Weyl theorem, and the Blattner-Kostant-Sternberg pairing
  • The Resolvent Algebra: A New Approach to Canonical Quantum Systems

Cited by in corpus (4)

  • Defining relations for the orbit type strata of SU(2)-lattice gauge models
  • On the Reflection Type Decomposition of the Adjoint Reduced Phase Space of a Compact Semisimple Lie group
  • The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory
  • Quasicharacters, recoupling calculus and costratifications of lattice quantum gauge theory
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