24 citations · 24 across the 1 of their papers we have counts for
5 papers
Background independent quantizations: the scalar field II
W. Kaminski, J. Lewandowski, A. Okolow
We are concerned with the issue of quantization of a scalar field in a diffeomorphism invariant manner. We apply the method used in Loop Quantum Gravity. It relies on the specific…
Background independent quantizations: the scalar field I
Wojciech Kaminski, Jerzy Lewandowski, Marcin Bobienski
We are concerned with the issue of quantization of a scalar field in a diffeomorphism invariant manner. We apply the method used in Loop Quantum Gravity. It relies on the specific…
Hilbert space built over connections with a non-compact structure group
Andrzej Okolow
Quantization of general relativity in terms of SL(2,C)-connections (i.e. in terms of the complex Ashtekar variables) is technically difficult because of the non-compactness of SL(2…
Automorphism covariant representations of the holonomy-flux *-algebra
Andrzej Okolow, Jerzy Lewandowski
We continue an analysis of representations of cylindrical functions and fluxes which are commonly used as elementary variables of Loop Quantum Gravity. We consider an arbitrary pri…
Diffeomorphism covariant representations of the holonomy-flux star-algebra
Andrzej Okolow, Jerzy Lewandowski
Recently, Sahlmann proposed a new, algebraic point of view on the loop quantization. He brought up the issue of a star-algebra underlying that framework, studied the algebra consis…