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Recent developments in deformation quantization

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arxiv 1502.00097 v1 pith:RT3N5RKH submitted 2015-01-31 math.QA math-phmath.MP

classification math.QAmath-phmath.MP
keywords deformationdevelopmentsoverviewquantizationrecentstaralgebraalgebras
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In this review an overview on some recent developments in deformation quantization is given. After a general historical overview we motivate the basic definitions of star products and their equivalences both from a mathematical and a physical point of view. Then we focus on two topics: the Morita classification of star product algebras and convergence issues which lead to the nuclear Weyl algebra.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Polymer representation for the scalar field: A Wigner functional approach

    gr-qc 2019-08 conditional novelty 6.0 of 10

    The polymer Wigner functional for a real scalar field is derived as a weak covariance limit of the Gaussian-measure Wigner functional, reproducing earlier GNS and Fock results.

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