Unitarity Condition on Quantum Fields in Semiclassical Gravity

Details Unitarity Condition on Quantum Fields in Semiclassical Gravity Unitarity Condition on Quantum Fields in Semiclassical Gravity

1995-11-13

arxiv.org/abs/gr-qc/9511037v1

Phys.Lett. A205 (1995) 359

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages of Latex file, Revtex

Scientific paper

10.1016/0375-9601(95)00584-P

The condition for the unitarity of a quantum field is investigated in semiclassical gravity from the Wheeler-DeWitt equation. It is found that the quantum field preserves unitarity asymptotically in the Lorentzian universe, but does not preserve unitarity completely in the Euclidean universe. In particular we obtain a very simple matter field equation in the basis of the generalized invariant of the matter field Hamiltonian whose asymptotic solution is found explicitly.

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