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Finite size effects in the SS-model: two component nonlinear integral equations

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Arpad Hegedus

High Energy Physics - Theory · Submitted 6 Oct 2003

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

The authors' main claim By modifying the kernel functions of these equations we propose nonlinear integral equations for the finite size effects in the SS-model.

how it is stated · asserted 0.65 read the record →

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arXiv IDhep-th/0310051 (version 1)
Pith IDAZKSQNJ5, Pith's permanent record of this paper and its review
CitationArpad Hegedus. "Finite size effects in the SS-model: two component nonlinear integral equations." arXiv:hep-th/0310051 (2003). https://pith.science/paper/AZKSQNJ5
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,890 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.43 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We derive a finite set of nonlinear integral equations for describing the finite size dependence of the ground state energy of the O(4) nonlinear sigma model. By modifying the kernel functions of these equations we propose nonlinear integral equations for the finite size effects in the SS-model. The equations are formulated in terms of two complex valued unknown functions and they are valid for arbitrary real values of the couplings.

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 derive a finite set of nonlinear integral equations for describing the finite size dependence of the ground state energy of the O(4) nonlinear sigma model. contribution 0.91 0.94 0.36 asserted 1.00
s1 By modifying the kernel functions of these equations we propose nonlinear integral equations for the finite size effects in the SS-model. contribution 0.80 0.92 0.33 asserted 0.65
s2 The equations are formulated in terms of two complex valued unknown functions and they are valid for arbitrary real values of the couplings. method 0.72 0.85 0.18 asserted 1.00

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

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  • references and citing sentences
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  • P abstract
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  • 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 derive a finite set of nonlinear integral equations for describing the finite size dependence of the ground state energy of the O(4) nonlinear sigma model. By modifying the kernel functions of these equations we propose nonlinear integral equations for the finite size effects in the SS-model. The equations are formulated in terms of two complex valued unknown functions and they are valid for arbitrary real values of the couplings.

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2 arXiv papers cite this in 2 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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