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A new perspective on matter coupling in 2d quantum gravity

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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J. Ambjorn, K.N. Anagnostopoulos (Niels Bohr Institute), R. Loll (Albert-Einstein-Institut)

High Energy Physics - Theory · Submitted 2 Apr 1999

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

The authors' main claim We provide compelling evidence that a previously introduced model of non-perturbative 2d Lorentzian quantum gravity exhibits (two-dimensional) flat-space behaviour when coupled to Ising spins.

how it is stated · asserted 0.97 read the record →

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arXiv IDhep-th/9904012 (version 1)
Pith IDEBBHSNEI, Pith's permanent record of this paper and its review
CitationJ. Ambjorn, K.N. Anagnostopoulos (Niels Bohr Institute), R. Loll (Albert-Einstein-Institut). "A new perspective on matter coupling in 2d quantum gravity." arXiv:hep-th/9904012 (1999). https://pith.science/paper/EBBHSNEI
Claim paper

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, 2,979 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.79 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We provide compelling evidence that a previously introduced model of non-perturbative 2d Lorentzian quantum gravity exhibits (two-dimensional) flat-space behaviour when coupled to Ising spins. The evidence comes from both a high-temperature expansion and from Monte Carlo simulations of the combined gravity-matter system. This weak-coupling behaviour lends further support to the conclusion that the Lorentzian model is a genuine alternative to Liouville quantum gravity in two dimensions, with a different, and much `smoother' critical behaviour.

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 provide compelling evidence that a previously introduced model of non-perturbative 2d Lorentzian quantum gravity exhibits (two-dimensional) flat-space behaviour when coupled to Ising spins. result 0.93 0.89 0.86 asserted 0.97
s1 The evidence comes from both a high-temperature expansion and from Monte Carlo simulations of the combined gravity-matter system. method 1.00 0.91 0.04 asserted 0.98
s2 This weak-coupling behaviour lends further support to the conclusion that the Lorentzian model is a genuine alternative to Liouville quantum gravity in two dimensions, with a different, and much `smoother' critical behaviour. interpretation 1.00 0.50 0.52 asserted 0.54

What kind of paper the classifier reports this is: simulation study 0.95 · evidence from simulation or computation 1.00.

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  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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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 provide compelling evidence that a previously introduced model of non-perturbative 2d Lorentzian quantum gravity exhibits (two-dimensional) flat-space behaviour when coupled to Ising spins. The evidence comes from both a high-temperature expansion and from Monte Carlo simulations of the combined gravity-matter system. This weak-coupling behaviour lends further support to the conclusion that the Lorentzian model is a genuine alternative to Liouville quantum gravity in two dimensions, with a different, and much `smoother' critical behaviour.

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References
How the literature uses it

17 arXiv papers cite this in 45 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 · 32 sentences without a confident label

Builds on it 1 paper
  • Moreover, in the case of $2$-state Potts model (Ising model), Theorem [ref] extends earlier results from [ref] , [ref] and improves the numerical approximation of the curve in high temperature given in [ref] .

    Potts model coupled to causal triangulations · Main results · 0.96

Uses its data or values 1 paper
  • In a thermalized configuration, approximately $1/4$ of the vertices are of order four [ref] , so that on average the configuration is updated at most a quarter of the times that a delete move is proposed.

    Zooming in on the Universe: In Search of Quantum Spacetime · The add and delete moves · 0.84

Compares with it 3 papers
Cites it as background 6 papers
  • In [ref] the Ising model on two-dimensional CDT was investigated via Monte-Carlo simulations and a high-temperature expansion.

    Quantum Gravity from Simplices: Analytical Investigations of Causal Dynamical Triangulations · Coupling CDT to matter · 0.80

  • Following the original, purely geometric CDT model, there have been numerous analytical and numerical studies of coupled Lorentzian gravity-matter systems in two spacetime dimensions, involving spin systems [ref] , dimers [ref] , scalar fields [ref] , gauge fields [ref] and loop models [ref] (see these papers for more extensive bibliographies).

    Quantum Flatness in Two-Dimensional CDT Quantum Gravity · CDT quantum gravity in two dimensions · 0.95

  • Following the original, purely geometric CDT model, there have been numerous analytical and numerical studies of coupled Lorentzian gravity-matter systems in two spacetime dimensions, involving spin systems [ref] , dimers [ref] , scalar fields [ref] , gauge fields [ref] and loop models [ref] (see these papers for more extensive bibliographies).

    Zooming in on the Universe: In Search of Quantum Spacetime · CDT quantum gravity in two dimensions · 0.91

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