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3D van der Waals sigma-model and topological excitations with logarithmic energy

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S.A.Bulgadaev (Landau Institute, Moscow)

High Energy Physics - Theory · Submitted 4 Sep 1999

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

The authors' main claim It is shown that it has the "hedgehog"-like topological excitations with logarithmic energy.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9909023 (version 1)
Pith IDVIPC47HV, Pith's permanent record of this paper and its review
CitationMoscow), S.A.Bulgadaev (Landau Institute. "3D van der Waals sigma-model and topological excitations with logarithmic energy." arXiv:hep-th/9909023 (1999). https://pith.science/paper/VIPC47HV
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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, 3,482 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.15 · 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; .

The 3D vector van der Waals (or conformal) nonlinear sigma-model is proposed. It is shown that it has the "hedgehog"-like topological excitations with logarithmic energy. Their "neutral" configurations have nontrivial topological structures described by Hopf invariant. A possible influence of these excitations on the properties of the model are discussed.

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 The 3D vector van der Waals (or conformal) nonlinear sigma-model is proposed. contribution 0.99 0.83 0.08 asserted 0.96
s1 It is shown that it has the "hedgehog"-like topological excitations with logarithmic energy. result 0.99 0.90 0.54 asserted 1.00
s2 Their "neutral" configurations have nontrivial topological structures described by Hopf invariant. result 0.98 0.76 0.18 asserted 1.00
s3 A possible influence of these excitations on the properties of the model are discussed. interpretation 0.92 0.61 0.10 hedged possibility 0.88

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.95.

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

The 3D vector van der Waals (or conformal) nonlinear sigma-model is proposed. It is shown that it has the "hedgehog"-like topological excitations with logarithmic energy. Their "neutral" configurations have nontrivial topological structures described by Hopf invariant. A possible influence of these excitations on the properties of the model are discussed.

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