53 citations · 63 across the 4 of their papers we have counts for
4 papers
Scalar curvature operator for loop quantum gravity on a cubical graph
Ilkka Mäkinen
We introduce a new operator representing the three-dimensional scalar curvature in loop quantum gravity. The operator is constructed by writing the Ricci scalar classically as a fu…
Graphical calculus of spin networks
Emanuele Alesci, Ilkka Mäkinen, Jinsong Yang
Graphical techniques provide a very useful practical device for calculations involving the so-called spin network states, which encode the quantum degrees of freedom of spatial geo…
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…
Hamiltonian operator for loop quantum gravity coupled to a scalar field
Emanuele Alesci, Mehdi Assanioussi, Jerzy Lewandowski +1
We present the construction of a physical Hamiltonian operator in the deparametrized model of loop quantum gravity coupled to a free scalar field. This construction is based on the…