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The resolvent algebra R ( X, σ ) associated to a symplectic space ( X, σ ) was introduced by D. Buchholz and H. Grundling as a convenient model of the canonical commutation relation (CCR) in quantum…
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Buchholz and Grundling (Comm. Math. Phys., 272, 699--750, 2007) introduced a C$^\ast$-algebra called the resolvent algebra as a canonical quantisation of a symplectic vector space, and demonstrated…
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This paper shows how to construct classical and quantum field C*-algebras modeling a $$U(1)^n$$ U ( 1 ) n -gauge theory in any dimension using a novel approach to lattice gauge theory, while…
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Bundles of C*-algebras can be used to represent limits of physical theories whose algebraic structure depends on the value of a parameter. The primary example is the [Formula: see text] limit of the…
Injective Tensor Products in Strict Deformation Quantization
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The aim of this paper is twofold. Firstly we provide necessary and sufficient criteria for the existence of a strict deformation quantization of algebraic tensor products of Poisson algebras, and…
Strict deformation quantization of abelian lattice gauge fields
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This paper shows how to construct classical and quantum field C*-algebras modeling a U(1)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…
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This Element provides an entry point for philosophical engagement with quantization and the classical limit. It introduces the mathematical tools of C*-algebras as they are used to compare classical…
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