A modification of the projective construction of quantum states for field theories

2016/05/31 by Jerzy Kijowski, Andrzej Okolow, Andrzej Okołów
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Canonical quantization #Field (mathematics) #Noncommutative and Quantum Gravity Theories #Projective test #Quantization (signal processing) #Quantum #Quantum field theory #Quantum state #Second quantization #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1063/1.4989550

published as J. Math. Phys. 58, 062303 (2017) · 22 pages, 1 figure, LaTeX2e

openalex created_date 2016/06/24 · openalex publication_date 2017/06/01 · arxiv created 2017/06/30 · arxiv updated 2017/07/03 · openalex updated_date 2026/08/05

Abstract

The projective construction of quantum states for field theories may be flawed—in some cases, the construction may possibly lead to spaces of quantum states which are “too small” to be used in quantization of field theories. Here we present a slight modification of the construction which is free from this flaw.

Citations

• An Inverse System of Nonempty Objects with Empty Limit
• New Variables for Classical and Quantum Gravity
• Kinematic quantum states for the Teleparallel Equivalent of General Relativity
• New Hamiltonian formulation of general relativity
• Constrained projective quantum states for the degenerate Plebański gravity
• Hamiltonian formulation of a simple theory of the teleparallel geometry