General Relativity and Quantum Cosmology · arXiv:gr-qc/9602011 v1 · submitted 7 Feb 1996
Quantum Decoherence in a Four-Dimensional Black Hole Background
The paper says
“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 ρ of the scalar field, leading to quantum decoherence.”
from the abstract · picked out as the main claim by a classifier
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The paper
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 ρ of the scalar field, leading to quantum decoherence. The order of magnitude of $\nd{\delta H}$ is μ2/MP, where μ is the mass of the scalar particle.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.68 · compares with prior results 0.85 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| 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. | result 0.98 | 0.91 | 0.27 | asserted 1.00 |
| 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. | interpretation 0.58 | 0.23 | 0.17 | asserted 1.00 |
| 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. | interpretation 0.55 | 0.79 | 0.74 | asserted 1.00 |
| The order of magnitude of $\nd{\delta H}$ is $\mu^2/M_P$, where $\mu$ is the mass of the scalar particle. | result 0.99 | 0.71 | 0.08 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v1
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,711 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
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Reviewed papers on Pith that cite this one. The full citation record
- Probing Planck scale physics with IceCube hep-ph · Jun 2005
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4 arXiv papers cite this in 6 sentences
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