The Polymer representation for the scalar field: A Wigner functional approach
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In this paper, we analyze the polymer representation of the real-valued scalar field theory within the deformation quantization formalism. Specifically, we obtain the polymer Wigner functional by taking the limit of Gaussian measures in the Schrödinger representation. The limiting functional corresponds to the polymer representation derived by using algebraic methods such as the GNS construction, and the Fock quantization procedure. © 2019 IOP Publishing Ltd.
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long range interaction; long-living states; synchronisation
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