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Non-Minimally Coupled Massive Scalar Field in a 2D Black Hole: Exactly Solvable Model

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V. Frolov, A. Zelnikov

High Energy Physics - Theory · Submitted 28 Dec 2000

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

The authors' main claim We found an explicit solution in a closed form for all modes and the Green function of the scalar field with an arbitrary mass and a nonminimal coupling to the curvature.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0012252 (version 1)
Pith IDRXK6WF54, Pith's permanent record of this paper and its review
CitationA. Zelnikov, V. Frolov. "Non-Minimally Coupled Massive Scalar Field in a 2D Black Hole: Exactly Solvable Model." arXiv:hep-th/0012252 (2000). https://pith.science/paper/RXK6WF54
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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, 3,566 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We study a nonminimal massive scalar field in a 2-dimensional black hole spacetime. We consider the black hole which is the solution of the 2d dilaton gravity derived from string-theoretical models. We found an explicit solution in a closed form for all modes and the Green function of the scalar field with an arbitrary mass and a nonminimal coupling to the curvature. Greybody factors, the Hawking radiation, and $ < \phi^2 >^{ren} $ are calculated explicitly for this exactly solvable model.

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 a nonminimal massive scalar field in a 2-dimensional black hole spacetime. contribution 0.89 0.91 0.06 asserted 0.94
s1 We consider the black hole which is the solution of the 2d dilaton gravity derived from string-theoretical models. background 0.60 0.20 0.03 asserted 1.00
s2 We found an explicit solution in a closed form for all modes and the Green function of the scalar field with an arbitrary mass and a nonminimal coupling to the curvature. result 0.86 0.96 0.72 asserted 1.00
s3 Greybody factors, the Hawking radiation, and $ < \phi^2 >^{ren} $ are calculated explicitly for this exactly solvable model. result 0.93 0.95 0.45 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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not examined
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  • references and citing sentences
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  • P abstract
not run
  • 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 a nonminimal massive scalar field in a 2-dimensional black hole spacetime. We consider the black hole which is the solution of the 2d dilaton gravity derived from string-theoretical models. We found an explicit solution in a closed form for all modes and the Green function of the scalar field with an arbitrary mass and a nonminimal coupling to the curvature. Greybody factors, the Hawking radiation, and $ < \phi^2 >^{ren} $ are calculated explicitly for this exactly solvable model.

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References
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4 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 · 10 sentences without a confident label

Contests it 1 paper
Builds on it 1 paper
  • Then, for arbitrary $a>0$ in the metric ([ref]) the Euclidean Green function can be written in terms of the Legendre function exactly as for CGHS black hole case (see [ref] ) G_E G_E(X,X') = -14sin(πν) P_ν(-λ), where λ = (1-2z)(1-2z')+4√(zz'(1-z)(1-z'))cos(τ-τ'2) lambda = cosθcosθ'+sinθsinθ'cos(φ-φ').

    Non-minimal scalar fields in 2D de Sitter and dilaton black holes · Euclidean vacuum · 0.89

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