Issues in Quantum-Geometric Propagation

Details Issues in Quantum-Geometric Propagation Issues in Quantum-Geometric Propagation

1997-07-16

arxiv.org/abs/gr-qc/9707038v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages; requires amsart, amssymb, amsmath

Scientific paper

A discussion of relativistic quantum-geometric mechanics on phase space and its generalisation to the propagation of free, massive, quantum-geometric scalar fields on curved spacetimes is given. It is shown that in an arbitrary coordinate system and frame of reference in a flat spacetime, the resulting propagator is necessarily the same as derived in the standard Minkowski coordinates up to a Lorentz boost acting on the momentum content of the field, which is therefore seen to play the role of Bogolubov transformations in this formalism. These results are explicitly demonstrated in the context of a Milne universe.

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