Local Properties of Measures in Quantum Field Theory and Cosmology

Abstract

We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar measure. We present also a characterization of the support of the measure associated with the canonical quantization of the free massive scalar field, following closely well known analogous results concerning the Euclidean path integral measure.

References in corpus (3)

• The Quantum Configuration Space of Loop Quantum Cosmology
• Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
• Loop Quantum Cosmology: Effective theories and oscillating universes

Cited by in corpus (2)

• Topics of Measure Theory on Infinite Dimensional Spaces
• Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective