9 citations · 28 across the 14 of their papers we have counts for
11 papers · 1 filter
Relativistic classical theory II. Holonomy-flux representation of gravitational degrees of freedom
Jakub Bilski
This article describes the regularization of the generally relativistic gauge field representation of gravity on a piecewise linear lattice. It is a part of the program concerning…
Continuously distributed holonomy-flux algebra
Jakub Bilski
The procedure of the holonomy-flux algebra construction along a piecewise linear path, which consists of a countably infinite number of pieces, is described in this article. The re…
Lattice classical cosmology
Jakub Bilski
This article presents the lattice-smeared gravity phase space reduction defined by the cosmological gauge-fixing conditions. These conditions are specified to reduce the SU(2) symm…
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…
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…
Critical Insight into the Cosmological Sector of Loop Quantum Gravity
Jakub Bilski, Antonino Marciano
This article sheds new light on the problem of cosmological reduction in Loop Quantum Gravity. We critically analyze Quantum Reduced Loop Gravity -- an attempt to extract the cosmo…
2+1 homogeneous Loop Quantum Gravity with a scalar field clock
Jakub Bilski, Antonino Marciano
We focus on three-dimensional QRLG with the purpose of shedding light on the link between reduced LQG and LQC in four space-time dimensions. Considering homogeneous three-dimension…
Quantum Reduced Loop Gravity with matter: eigenvectors of the Hamiltonian operator in isotropic cosmology
Jakub Bilski, Antonino Marciano
Introducing a new method, we demonstrate how the action of reduced operators can be derived without resorting to a recoupling theory and how they exactly reproduce the results obta…
Quantum reduced loop gravity: extension to gauge vector field
Jakub Bilski, Emanuele Alesci, Francesco Cianfrani +2
Within the framework of Quantum Reduced Loop Gravity we quantize the Hamiltonian for a gauge vector field. The regularization can be performed using tools analogous to the ones ado…
Quantum reduced loop gravity: extension to scalar field
Jakub Bilski, Emanuele Alesci, Francesco Cianfrani
The quantization of the Hamiltonian for a scalar field is performed in the framework of Quantum Reduced Loop Gravity. We outline how the regularization can be performed by using th…