6 papers
Counting a black hole in Lorentzian product triangulations
B. Dittrich, R. Loll
We take a step toward a nonperturbative gravitational path integral for black-hole geometries by deriving an expression for the expansion rate of null geodesic congruences in the a…
Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories
Bianca Dittrich, Thomas Thiemann
This is the final fifth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. Here we conside…
Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories
Bianca Dittrich, Thomas Thiemann
This is the fourth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. We now move on to fr…
Testing the Master Constraint Programme for Loop Quantum Gravity III. SL(2,R) Models
Bianca Dittrich, Thomas Thiemann
This is the third paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. In this work we analy…
Testing the Master Constraint Programme for Loop Quantum Gravity II. Finite Dimensional Systems
Bianca Dittrich, Thomas Thiemann
This is the second paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. In this work we begi…
Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework
Bianca Dittrich, Thomas Thiemann
Recently the Master Constraint Programme for Loop Quantum Gravity (LQG) was proposed as a classically equivalent way to impose the infinite number of Wheeler -- DeWitt constraint e…