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Scalar Fields in BTZ Black Hole Spacetime and Entanglement Entropy

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Dharm Veer Singh, Sanjay Siwach

High Energy Physics - Theory · Submitted 6 Jun 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The leading term of the entropy formula is standard Bakenstein-Hawking entropy and sub-leading corresponds to quantum corrections to black hole entropy.

how it is stated · asserted 1.00 read the record →

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arXiv ID1106.1005 (version 3)
Pith IDDFFEWTQF, Pith's permanent record of this paper and its review
CitationDharm Veer Singh, Sanjay Siwach. "Scalar Fields in BTZ Black Hole Spacetime and Entanglement Entropy." arXiv:1106.1005 (2011). https://pith.science/paper/DFFEWTQF
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,499 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.21 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We study the quantum scalar fields in background of BTZ black hole spacetime. We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. The leading term of the entropy formula is standard Bakenstein-Hawking entropy and sub-leading corresponds to quantum corrections to black hole entropy. We calculate the co-efficent of sub-leading logarithmic corrections numerically.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study the quantum scalar fields in background of BTZ black hole spacetime. contribution 0.74 0.87 0.03 asserted 0.87
s1 We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. method 0.99 0.95 0.09 asserted 1.00
s2 The leading term of the entropy formula is standard Bakenstein-Hawking entropy and sub-leading corresponds to quantum corrections to black hole entropy. result 0.57 0.76 0.67 asserted 1.00
s3 We calculate the co-efficent of sub-leading logarithmic corrections numerically. result 0.53 0.95 0.14 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.81 · evidence from simulation or computation 0.70.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We study the quantum scalar fields in background of BTZ black hole spacetime. We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. The leading term of the entropy formula is standard Bakenstein-Hawking entropy and sub-leading corresponds to quantum corrections to black hole entropy. We calculate the co-efficent of sub-leading logarithmic corrections numerically.

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References
How the literature uses it

6 arXiv papers cite this in 15 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 11 sentences without a confident label

Uses its method or tool 1 paper
  • The interaction matrix elements $V_AB$ (where $A,B=1,2……N$) is written as [ref] , V_AB= u_A/√(u^2_A+M)(u_A+1/2√(u^2_A+1/2+M)+u_A-1/2√(u^2_A-1/2+M))δ_A,B - 2u_A+1/2√(u^2_A+1/2+M)√(u_A/√(u^2_A+M))√(u_A+1/√(u^2_A+1+M))δ_A,B+1 +m^2 u^2_A/u^2_A+Mψ_m^A^2δ_A,B.

    How are the degrees of freedom responsible for entropy in BTZ spacetime? · Basic set-up · 0.87

Compares with it 1 paper
Cites it as background 1 paper
  • We note that, similar studies on (rotating) BTZ black hole with massless or massive scalar field have been done in [ref] , where the authors numerically analyzed the effect of angle momentum $(J)$ and mass of scalar field $(m_s)$ on the coefficients in the entanglement entropy of BTZ black hole.

    Scalar Field in Massive BTZ Black Hole and Entanglement Entropy · Introduction · 0.89

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