9 citations · 28 across the 14 of their papers we have counts for
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Implementation of the holonomy representation of the Ashtekar connection in loop quantum gravity
Jakub Bilski
The improved lattice regularization method of the Ashtekar connection holonomy representation in loop quantum gravity is described in this article. The approach is based on the geo…
Lie algebra of Ashtekar-Barbero connection operators
Jakub Bilski
Holonomies of the Ashtekar-Barbero connection can be considered as abstract elements of a Lie group exponentially mapped from their connections representation. This idea provides a…
General-relativistic spin system
Danilo Artigas, Jakub Bilski, Sean Crowe +2
The models of spin systems defined on Euclidean space provide powerful machinery for studying a broad range of condensed matter phenomena. While the non-relativistic effective desc…
Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
Jakub Bilski
This article concerns the problems regarding different lattice regularization techniques for the matter fields of Hamiltonian constraints defined in the framework of loop quantum g…