Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories

Details Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories

2004-11-29

arxiv.org/abs/gr-qc/0411141v1

Class.Quant.Grav. 23 (2006) 1121-1142

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, no figures

Scientific paper

10.1088/0264-9381/23/4/004

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 free field theories with constraints, namely Maxwell theory and linearized gravity. Since the Master constraint involves squares of constraint operator valued distributions, one has to be very careful in doing that and we will see that the full flexibility of the Master Constraint Programme must be exploited in order to arrive at sensible results.

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