Unitarity Condition on Quantum Fields in Semiclassical Gravity
Sang Pyo Kim (Department of Physics, Kunsan National University,, Kunsan, Korea)
TL;DR
This paper examines the unitarity of quantum fields within semiclassical gravity using the Wheeler-DeWitt equation, revealing asymptotic unitarity in Lorentzian universes but not in Euclidean ones, and derives a simple matter field equation.
Contribution
It introduces a new analysis of quantum field unitarity in semiclassical gravity and derives an explicit asymptotic solution for the matter field equation.
Findings
Quantum fields are asymptotically unitary in Lorentzian universes.
Unitarity is not preserved in Euclidean universes.
A simple matter field equation is obtained with explicit solutions.
Abstract
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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