130 citations · 316 across the 13 of their papers we have counts for
15 papers
Bouncing Universe in Loop Quantum Gravity: full theory calculation
Marcin Kisielowski
In Loop Quantum Gravity mathematically rigorous models of full quantum gravity were proposed. In this paper we study a cosmological sector of one of the models describing quantum g…
Quantum dynamics of gravitational massive shell
Andrzej Góźdź, Marcin Kisielowski, Włodzimierz Piechocki
The quantum dynamics of a self-gravitating thin matter shell in vacuum has been considered. Quantum Hamiltonian of the system is positive definite. Within chosen set of parameters,…
Properties of the Rovelli-Smolin-DePietri volume operator in the spaces of monochromatic intertwiners
Marcin Kisielowski
We study some properties of the Rovelli-Smolin-DePietri volume operator in loop quantum gravity, which significantly simplify the diagonalization problem and shed some light on the…
Homogeneous-isotropic sector of loop quantum gravity: new approach
Marcin Kisielowski
Recently, a new class of scalar constraint operators has been introduced in loop quantum gravity. They are defined on a space of solutions to the Gauss constraint and partial solut…
Spin-foam model for gravity coupled to massless scalar field
Marcin Kisielowski, Jerzy Lewandowski
A spin-foam model is derived from the canonical model of Loop Quantum Gravity coupled to a massless scalar field. We generalized to the full theory the scheme first proposed in the…
Asymptotic analysis of the EPRL model with timelike tetrahedra
Wojciech Kaminski, Marcin Kisielowski, Hanno Sahlmann
We perform the stationary phase analysis of the vertex amplitude for the EPRL spin foam model extended to include timelike tetrahedra. We analyse both, tetrahedra of signature $---…
Relation between Regge calculus and BF theory on manifolds with defects
Marcin Kisielowski
In Regge calculus the space-time manifold is approximated by certain abstract simplicial complex, called a pseudo-manifold, and the metric is approximated by an assignment of a len…
Integral expression for a topological charge in the Faddeev-Niemi non-linear sigma model
Marcin Kisielowski
We have introduced Faddeev-Niemi type variables for static SU(3) Yang-Mills theory. The variables suggest that a non-linear sigma model whose sigma fields take values in SU(3)/(U(1…
New Faddeev-Niemi type variables for static SU(3) Yang-Mills theory
Marcin Kisielowski
We propose new variables of Faddeev-Niemi type for static SU(3) Yang-Mills theory. These variables reveal a structure of a nonlinear sigma model, whose field variables are two chir…
One vertex spin-foams with the Dipole Cosmology boundary
Marcin Kisielowski, Jerzy Lewandowski, Jacek Puchta
We find all the spin-foams contributing in the first order of the vertex expansion to the transition amplitude of the Bianchi-Rovelli-Vidotto Dipole Cosmology model. Our algorithm…
The kernel and the injectivity of the EPRL map
Wojciech Kaminski, Marcin Kisielowski, Jerzy Lewandowski
In this paper we prove injectivity of the EPRL map for |γ|<1, filling the gap of our previous paper.
Feynman diagrammatic approach to spin foams
Marcin Kisielowski, Jerzy Lewandowski, Jacek Puchta
"The Spin Foams for People Without the 3d/4d Imagination" could be an alternative title of our work. We derive spin foams from operator spin network diagrams} we introduce. Our dia…
Operator Spin Foam Models
Benjamin Bahr, Frank Hellmann, Wojciech Kamiński +2
The goal of this paper is to introduce a systematic approach to spin foams. We define operator spin foams, that is foams labelled by group representations and operators, as the mai…
The EPRL intertwiners and corrected partition function
Wojciech Kamiński, Marcin Kisielowski, Jerzy Lewandowski
Do the SU(2) intertwiners parametrize the space of the EPRL solutions to the simplicity constraint? What is a complete form of the partition function written in terms of this param…
Spin-Foams for All Loop Quantum Gravity
Wojciech Kamiński, Marcin Kisielowski, Jerzy Lewandowski
The simplicial framework of Engle-Pereira-Rovelli-Livine spin-foam models is generalized to match the diffeomorphism invariant framework of loop quantum gravity. The simplicial spi…