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

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.

22 pages, 1 figure, LaTeX2e

References in corpus (3)

• An Inverse System of Nonempty Objects with Empty Limit
• Kinematic projective quantum states for Loop Quantum Gravity coupled to tensor fields
• Constrained projective quantum states for the degenerate Plebanski gravity

Cited by in corpus (8)

• Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction
• Hamiltonian Renormalisation V: Free Vector Bosons
• Operator-algebraic renormalization and wavelets
• Quantum lattice gauge fields and groupoid C*-algebras
• Kinematic projective quantum states for Loop Quantum Gravity coupled to tensor fields
• Space of quantum states built over metrics of fixed signature
• Constrained projective quantum states for the degenerate Plebanski gravity
• Hilbert spaces built over metrics of fixed signature