Quantum Decoherence in a Four-Dimensional Black Hole Background

Details Quantum Decoherence in a Four-Dimensional Black Hole Background Quantum Decoherence in a Four-Dimensional Black Hole Background

1996-02-07

arxiv.org/abs/gr-qc/9602011v1

Mod.Phys.Lett.A12:243-256,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13-pages LATEX

Scientific paper

10.1142/S0217732397000248

We display a logarithmic divergence in the density matrix of a scalar field in the presence of an Einstein-Yang-Mills black hole in four dimensions. This divergence is related to a previously-found logarithmic divergence in the entropy of the scalar field, which cannot be absorbed into a renormalization of the Hawking-Bekenstein entropy of the black hole. As the latter decays, the logarithmic divergence induces a non-commutator term $\nd{\delta H}\rho$ in the quantum Liouville equation for the density matrix $\rho$ of the scalar field, leading to quantum decoherence. The order of magnitude of $\nd{\delta H}$ is $\mu^2/M_P$, where $\mu$ is the mass of the scalar particle.

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