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• W2469500913 abstract "The polymer quantization of the Fourier modes of the real scalar field is studied within algebraic scheme. We replace the positive linear functional of the standard Poincaré invariant quantization by a singular one. This singular positive linear functional is constructed as mimicking the singular limit of the complex structure of the Poincaré invariant Fock quantization. The resulting symmetry group of such polymer quantization is the subgroup [Formula: see text] which is a subgroup of [Formula: see text] formed by spatial volume preserving diffeomorphisms. In consequence, this yields an entirely different irreducible representation of the canonical commutation relations, nonunitary equivalent to the standard Fock representation. We also compared the Poincaré invariant Fock vacuum with the polymer Fourier vacuum." @default.
• W2469500913 created "2016-07-22" @default.
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• W2469500913 date "2016-11-14" @default.
• W2469500913 modified "2023-10-02" @default.
• W2469500913 title "Polymer-Fourier quantization of the scalar field revisited" @default.
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• W2469500913 doi "https://doi.org/10.1142/s0217751x16501669" @default.
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