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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…
The LQG -- String: Loop Quantum Gravity Quantization of String Theory I. Flat Target Space
Thomas Thiemann
We combine I. background independent Loop Quantum Gravity (LQG) quantization techniques, II. the mathematically rigorous framework of Algebraic Quantum Field Theory (AQFT) and III.…