39 citations · 99 across the 6 of their papers we have counts for
6 papers
Quantum Geometrodynamics Revived II. Hilbert Space of Positive Definite Metrics
Thorsten Lang, Susanne Schander
This paper represents the second in a series of works aimed at reinvigorating the quantum geometrodynamics program. Our approach introduces a lattice regularization of the hypersur…
Quantum Geometrodynamics Revived I. Classical Constraint Algebra
Thorsten Lang, Susanne Schander
In this series of papers, we present a set of methods to revive quantum geometrodynamics which encountered numerous mathematical and conceptual challenges in its original form prom…
Hamiltonian Renormalisation II. Renormalisation Flow of 1+1 dimensional free scalar fields: Derivation
Thorsten Lang, Klaus Liegener, Thomas Thiemann
In the companion paper we motivated a renormalisation flow on Osterwalder-Schrader data (OS-data) consisting of 1. a Hilbert space, 2. a cyclic vacuum and 3. a Hamiltonian annihila…
Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance
Thorsten Lang, Klaus Liegener, Thomas Thiemann
In this article we extend the test of Hamiltonian Renormalisation proposed in this series of articles to the D-dimensional case using a massive free scalar field. The concepts we i…
Hamiltonian Renormalization III. Renormalisation Flow of 1+1 dimensional free scalar fields: Properties
Thorsten Lang, Klaus Liegener, Thomas Thiemann
This is the third paper in a series of four in which a renormalisation flow is introduced which acts directly on the Osterwalder-Schrader data (OS data) without recourse to a path…
Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction
Thorsten Lang, Klaus Liegener, Thomas Thiemann
A possible avenue towards a non-perturbative Quantum Field Theory (QFT) on Minkowski space is the constructive approach which employs the Euclidian path integral formulation, in th…