The Consistency of Causal Quantum Geometrodynamics and Quantum Field Theory

Details The Consistency of Causal Quantum Geometrodynamics and Quantum Field Theory The Consistency of Causal Quantum Geometrodynamics and Quantum Field Theory

2000-09-22

arxiv.org/abs/gr-qc/0009080v3

Gen.Rel.Grav. 34 (2002) 505-532

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final version. See also http://www.cosmologia.cbpf.br

Scientific paper

We consider quantum geometrodynamics and parametrized quantum field theories in the framework of the Bohm-de Broglie interpretation. In the first case, and following the lines of our previous work [1], where a hamiltonian formalism for the bohmian trajectories was constructed, we show the consistency of the theory for any quantum potential, completing the scenarios for canonical quantum cosmology presented there. In the latter case, we prove the consistency of scalar field theory in Minkowski spacetime for any quantum potential, and we show, using this alternative hamiltonian method, a concrete example where Lorentz invariance of individual events is broken.

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