Vacuum polarization in two-dimensional static spacetimes and dimensional reduction

Alessandro Fabbri; Patrick J. Sutton; Piero Nicolini; Roberto Balbinot

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Vacuum polarization in two-dimensional static spacetimes and dimensional reduction

Roberto Balbinot, Alessandro Fabbri, Piero Nicolini, Patrick J. Sutton

High Energy Physics - Theory · Submitted 6 Feb 2002

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

The authors' main claim Careful analysis near the event horizon shows the resulting two-dimensional system to be regular in the Hartle-Hawking state for general values of the field mass, coupling, and angular momentum, while at spatial infinity it reduces to a thermal gas at the black-hole temperature.

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arXiv IDhep-th/0202036 (version 2)

Pith IDG5QYVKH7, Pith's permanent record of this paper and its review

CitationAlessandro Fabbri, Patrick J. Sutton, Piero Nicolini, Roberto Balbinot. "Vacuum polarization in two-dimensional static spacetimes and dimensional reduction." arXiv:hep-th/0202036 (2002). https://pith.science/paper/G5QYVKH7

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,995 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.08 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive, non-minimally coupled scalar field in the four-dimensional Schwarzschild geometry. Careful analysis near the event horizon shows the resulting two-dimensional system to be regular in the Hartle-Hawking state for general values of the field mass, coupling, and angular momentum, while at spatial infinity it reduces to a thermal gas at the black-hole temperature.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime.	contribution 0.85	0.95	0.14	asserted 1.00
s1	We apply this to the dilaton gravity model resulting from the spherical reduction of a massive, non-minimally coupled scalar field in the four-dimensional Schwarzschild geometry.	method 0.56	0.86	0.06	asserted 0.98
s2	Careful analysis near the event horizon shows the resulting two-dimensional system to be regular in the Hartle-Hawking state for general values of the field mass, coupling, and angular momentum, while at spatial infinity it reduces to a thermal gas at the black-hole temperature.	result 1.00	0.91	0.74	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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arXiv listing abstract v2

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full text
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The paper

Original abstract

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive, non-minimally coupled scalar field in the four-dimensional Schwarzschild geometry. Careful analysis near the event horizon shows the resulting two-dimensional system to be regular in the Hartle-Hawking state for general values of the field mass, coupling, and angular momentum, while at spatial infinity it reduces to a thermal gas at the black-hole temperature.

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References

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Unveiling horizons in quantum critical collapse
gr-qc 2025-09 unverdicted novelty 7.0 of 10

Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.
Quantum Critical Collapse Abhors a Naked Singularity
gr-qc 2025-09 unverdicted novelty 6.0 of 10

One-loop quantum vacuum polarization in Einstein-scalar critical collapse generates a horizon and finite mass gap, enforcing black hole formation even under arbitrary fine-tuning.
Dilaton Gravity in Two Dimensions
hep-th 2002-04 accept novelty 2.0 of 10

Two-dimensional dilaton gravity can be quantized exactly in its geometric sector, with matter handled perturbatively, and this review assembles the supporting results into a coherent framework.

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4 arXiv papers cite this in 8 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

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Cites it as background 4 papers

The resulting two-dimensional theory features a non-minimally dilaton-coupled matter sector, which has been the subject of extensive study [ref] , owing to its strong physical motivation from higher-dimensional origins.

Unveiling horizons in quantum critical collapse · Main methods, results, and their implications · 0.84
To name a few, using auxiliary fields for the one-loop action to solve the appropriate boundary conditions [ref] , the effective action formalism based on perturbative heat kernel [ref] , canonical quantization by solving the field equations [ref] , and a generalized transformation law for the normal-ordered stress tensor [ref] .

Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation · Introduction · 0.84
This has been a known source of confusion in black hole evaporation [ref] , which was clarified in [ref] .

Quantum Critical Collapse Abhors a Naked Singularity · Introduction · 0.85

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