2019/08/31 by Jasel Berra-Montiel · 9 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic number #Fock space #Gaussian #Limit (mathematics) #Limiting #Mathematical Analysis and Transform Methods #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum Information and Cryptography #Representation (politics) #Scalar (mathematics) #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/ab5bc7
published in Classical and Quantum Gravity 37(2), 025006 (IOP Publishing) · 17 pages, no figures
openalex created_date 2019/08/29 · openalex publication_date 2019/11/26 · arxiv created 2019/12/19 · arxiv updated 2019/12/20 · openalex updated_date 2026/08/06
Abstract 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.