Pith. Sign in

RECORD

The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Astrid Eichhorn, Antonio D. Pereira, Andreas G. A. Pithis

General Relativity and Quantum Cosmology · Submitted 10 Sep 2020

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

The authors' main claim We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality and subjecting the technique to another strong test of its performance in discrete quantum gravity by comparing to known results.

how it is stated · asserted 0.96 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID2009.05111 (version 2)
Pith IDGUG2YC6M, Pith's permanent record of this paper and its review
CitationAndreas G. A. Pithis, Antonio D. Pereira, Astrid Eichhorn. "The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization." arXiv:2009.05111 (2020). https://pith.science/paper/GUG2YC6M
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.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,664 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.75 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

At criticality, discrete quantum-gravity models are expected to give rise to continuum spacetime. Recent progress has established the functional renormalization group method in the context of such models as a practical tool to study their critical properties and to chart their phase diagrams. Here, we apply these techniques to the multi-matrix model with $ABAB$-interaction potentially relevant for Lorentzian quantum gravity in 3 dimensions. We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality and subjecting the technique to another strong test of its performance in discrete quantum gravity by comparing to known results.

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 At criticality, discrete quantum-gravity models are expected to give rise to continuum spacetime. background 1.00 0.04 0.04 hedged possibility 0.90
s1 Recent progress has established the functional renormalization group method in the context of such models as a practical tool to study their critical properties and to chart their phase diagrams. background 1.00 0.06 0.03 asserted 1.00
s2 Here, we apply these techniques to the multi-matrix model with $ABAB$-interaction potentially relevant for Lorentzian quantum gravity in 3 dimensions. contribution 0.98 0.86 0.06 hedged possibility 0.56
s3 We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality and subjecting the technique to another strong test of its performance in discrete quantum gravity by comparing to known results. contribution 0.86 0.90 0.60 asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.85 · evidence from simulation or computation 0.62.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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

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

At criticality, discrete quantum-gravity models are expected to give rise to continuum spacetime. Recent progress has established the functional renormalization group method in the context of such models as a practical tool to study their critical properties and to chart their phase diagrams. Here, we apply these techniques to the multi-matrix model with $ABAB$-interaction potentially relevant for Lorentzian quantum gravity in 3 dimensions. We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality and subjecting the technique to another strong test of its performance in discrete quantum gravity by comparing to known results.

Human review

How Pith checks papers → · Full audit of this paper →

References
How the literature uses it

9 arXiv papers cite this in 12 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

Cites it as background 1 paper

What it cites · 184 sentences without a confident label

Uses the method or tool of 1 paper
  • Therein, $Z_A, Z_B$ are wave-function renormalization factors and the details of the cut-off procedure are captured by the function [equation] so that the regulator is closely modelled after Litim's cutoff [ref] .

    Optimised Renormalisation Group Flows · General setup of the flow equations · 0.91

Compares with 7 papers
  • Our leading-order FRG analysis has resulted in a phase diagram in good agreement with the results presented in [ref] , providing a strong test of the functional RG approach to matrix/tensor models and highlighting that already at very low truncation order, key physics aspects are well captured.

    Two-Matrix model with ABAB interaction · Discussion and outlook · 1.00

  • In Sec. [ref] we review what is known about the phase diagram in the literature [ref] and compare our results to it.

    Lorentzian 3d Gravity with Wormholes via Matrix Models · Introduction · 0.99

  • In Sec. [ref] we review what is known about the phase diagram in the literature [ref] and compare our results to it.

    Renormalization of 3d quantum gravity from matrix models · Introduction · 0.99

Cites as background 69 papers
  • The two-matrix model with $ABAB$ interaction has been exactly solved in the large $N$ limit [ref] using the character expansion method [ref] .

    A Generating Function for Fatgraphs · Review of the phase diagram of the $ABAB$ matrix model · 0.87

  • The two-matrix model with $ABAB$ interaction has been exactly solved in the large $N$ limit [ref] using the character expansion method [ref] .

    Two-Matrix model with ABAB interaction · Review of the phase diagram of the $ABAB$ matrix model · 0.87

  • The two-matrix model with $ABAB$ interaction has been exactly solved in the large $N$ limit [ref] using the character expansion method [ref] .

    The asymmetric ABAB matrix model · Review of the phase diagram of the $ABAB$ matrix model · 0.87

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.