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Quantum Phase Transitions and the Extended Coupled Cluster Method

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N.E. Ligterink, N.R. Walet, R.F. Bishop

High Energy Physics - Phenomenology · Submitted 4 Aug 2000

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

The authors' main claim We show how simple predictions get modified, leading to the absence of a phase transition in (1+1) dimensions, and strong indications for a phase transition in (3+1) dimensions.

how it is stated · asserted 0.69 read the record →

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arXiv IDhep-ph/0008040 (version 1)
Pith IDBTKHMFOV, Pith's permanent record of this paper and its review
CitationN.E. Ligterink, N.R. Walet, R.F. Bishop. "Quantum Phase Transitions and the Extended Coupled Cluster Method." arXiv:hep-ph/0008040 (2000). https://pith.science/paper/BTKHMFOV
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,925 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.20 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We discuss the application of an extended version of the coupled cluster method to systems exhibiting a quantum phase transition. We use the lattice O(4) non-linear sigma model in (1+1)- and (3+1)-dimensions as an example. We show how simple predictions get modified, leading to the absence of a phase transition in (1+1) dimensions, and strong indications for a phase transition in (3+1) dimensions.

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 discuss the application of an extended version of the coupled cluster method to systems exhibiting a quantum phase transition. contribution 0.99 0.76 0.07 asserted 0.55
s1 We use the lattice O(4) non-linear sigma model in (1+1)- and (3+1)-dimensions as an example. method 0.98 0.73 0.03 asserted 0.92
s2 We show how simple predictions get modified, leading to the absence of a phase transition in (1+1) dimensions, and strong indications for a phase transition in (3+1) dimensions. result 0.99 0.92 0.84 asserted 0.69

What kind of paper the classifier reports this is: method or tool 0.47 · evidence from simulation or computation 0.48.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
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

We discuss the application of an extended version of the coupled cluster method to systems exhibiting a quantum phase transition. We use the lattice O(4) non-linear sigma model in (1+1)- and (3+1)-dimensions as an example. We show how simple predictions get modified, leading to the absence of a phase transition in (1+1) dimensions, and strong indications for a phase transition in (3+1) dimensions.

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