Nets of standard subspaces on Lie groups

KH Neeb, G Ólafsson - Advances in Mathematics, 2021 - Elsevier
Let G be a Lie group with Lie algebra g, h∈ g an element for which the derivation ad h
defines a 3-grading of g and τ G an involutive automorphism of G inducing on g the …

Hadamard states for the Klein–Gordon equation on Lorentzian manifolds of bounded geometry

C Gérard, O Oulghazi, M Wrochna - Communications in Mathematical …, 2017 - Springer
Abstract We consider the Klein–Gordon equation on a class of Lorentzian manifolds with
Cauchy surface of bounded geometry, which is shown to include examples such as exterior …

Functional properties of Hörmander's space of distributions having a specified wavefront set

Y Dabrowski, C Brouder - Communications in Mathematical Physics, 2014 - Springer
Abstract The space D _ Γ^ ′ D Γ′ of distributions having their wavefront sets in a closed
cone Γ Γ has become important in physics because of its role in the formulation of quantum …

Coherent states, quantum gravity, and the Born-Oppenheimer approximation. III.: Applications to loop quantum gravity

A Stottmeister, T Thiemann - Journal of Mathematical Physics, 2016 - pubs.aip.org
In this article, the third of three, we analyse how the Weyl quantisation for compact Lie
groups presented in the second article of this series fits with the projective-phase space …

[HTML][HTML] Canonical interacting quantum fields on two-dimensional de Sitter space

CD Jäkel, J Mund - Physics Letters B, 2017 - Elsevier
Canonical interacting quantum fields on two-dimensional de Sitter space - ScienceDirect Skip to
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[PDF][PDF] On the Embedding of Quantum Field Theory on Curved Spacetimes into Loop Quantum Gravity

A Stottmeister - 2015 - opus4.kobv.de
The main theme of this thesis is an investigation into possible connections between loop
quantum gravity and quantum field theory on curved spacetimes: On the one hand, we aim …