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gr-qc2023
Gauge Symmetry Breaking Lattice Regularizations and their Continuum Limit
Thorsten Lang, Susanne Schander
Lattice regularizations are pivotal in the non-perturbative quantization of gauge field theories. Wilson's proposal to employ group-valued link fields simplifies the regularization…
gr-qc2023
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…
gr-qc2023
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…