56 citations · 126 across the 9 of their papers we have counts for
9 papers
Time evolution of semiclassical states in the one-vertex model of quantum-reduced loop gravity
Ilkka Mäkinen
We compute numerically the time evolution of simple semiclassical states describing homogeneous and isotropic spatial geometries in quantum-reduced loop gravity under a deparametri…
On the covariant formulation of gauge theories with boundaries
Mehdi Assanioussi, Jerzy Kowalski-Glikman, Ilkka Mäkinen +1
In the present article, we review the classical covariant formulation of Yang-Mills theory and general relativity in the presence of spacetime boundaries, focusing mainly on the de…
Master constraint approach to quantum-reduced loop gravity
Ilkka Mäkinen
We introduce a master constraint operator on the kinematical Hilbert space of loop quantum gravity representing a set of gauge conditions which classically fix the densitized triad…
Scalar curvature operator for quantum-reduced loop gravity
Jerzy Lewandowski, Ilkka Mäkinen
In a previous article we have introduced an operator representing the three-dimensional scalar curvature in loop quantum gravity. In this article we examine the new curvature opera…
Scalar curvature operator for models of loop quantum gravity on a cubical graph
Jerzy Lewandowski, Ilkka Mäkinen
In this article we introduce a new operator representing the three-dimensional scalar curvature in loop quantum gravity. Our construction does not apply to the entire kinematical H…
Time evolution in deparametrized models of loop quantum gravity
Mehdi Assanioussi, Jerzy Lewandowski, Ilkka Mäkinen
An important aspect in understanding the dynamics in the context of deparametrized models of LQG is to obtain a sufficient control on the quantum evolution generated by a given Ham…
Coherent 3j-symbol representation for the loop quantum gravity intertwiner space
Emanuele Alesci, Jerzy Lewandowski, Ilkka Mäkinen
We introduce a new technique for dealing with the matrix elements of the Hamiltonian operator in loop quantum gravity, based on the use of intertwiners projected on coherent states…
Coherent State Operators in Loop Quantum Gravity
Emanuele Alesci, Andrea Dapor, Jerzy Lewandowski +2
We present a new method for constructing operators in loop quantum gravity. The construction is an application of the general idea of "coherent state quantization", which allows on…
New scalar constraint operator for loop quantum gravity
Mehdi Assanioussi, Jerzy Lewandowski, Ilkka Mäkinen
We present a concrete and explicit construction of a new scalar constraint operator for loop quantum gravity. The operator is defined on the recently introduced space of partially…