{"arxiv_id":"gr-qc/9602011","title":"Quantum Decoherence in a Four-Dimensional Black Hole Background","abstract":"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.","primary_cat":"gr-qc","cross_cats":["hep-th","quant-ph"],"submitted_at":"1996-02-07T19:25:19+00:00","latest_version":1,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":null,"confidence":null,"one_line_summary":null,"novelty_score":null,"correctness_risk":null,"formal_verification":null,"upvotes":0,"downvotes":0,"pith_score":0.0,"inbound_count":1,"_links":{"html":"https://pith.science/paper/gr-qc/9602011","verdict":"/api/v1/verdicts/gr-qc/9602011"}}