155 citations · 1.6k across the 64 of their papers we have counts for
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Polymer and Fock representations for a Scalar field
Abhay Ashtekar, Jerzy Lewandowski, Hanno Sahlmann
In loop quantum gravity, matter fields can have support only on the `polymer-like' excitations of quantum geometry, and their algebras of observables and Hilbert spaces of states c…
Towards the QFT on Curved Spacetime Limit of QGR. II: A Concrete Implementation
Hanno Sahlmann, Thomas Thiemann
The present paper is the companion of [1] in which we proposed a scheme that tries to derive the Quantum Field Theory (QFT) on Curved Spacetimes (CST) limit from background indepen…
Towards the QFT on Curved Spacetime Limit of QGR. I: A General Scheme
Hanno Sahlmann, Thomas Thiemann
In this article and a companion paper we address the question of how one might obtain the semiclassical limit of ordinary matter quantum fields (QFT) propagating on curved spacetim…
When Do Measures on the Space of Connections Support the Triad Operators of Loop Quantum Gravity?
Hanno Sahlmann
In this work we investigate the question, under what conditions Hilbert spaces that are induced by measures on the space of generalized connections carry a representation of certai…
Some results concerning the representation theory of the algebra underlying loop quantum gravity
Hanno Sahlmann
Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of observables and of a representation of A on a measure space over the spa…