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On the spectrum of the Sinh-Gordon model in finite volume

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J. Teschner

High Energy Physics - Theory · Submitted 27 Feb 2007

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

The authors' main claim We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the Sinh-Gordon model completely in both of these limits.

how it is stated · hedged possibility 0.67 read the record →

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arXiv IDhep-th/0702214 (version 6)
Pith IDJY5WHLZQ, Pith's permanent record of this paper and its review
CitationJ. Teschner. "On the spectrum of the Sinh-Gordon model in finite volume." arXiv:hep-th/0702214 (2007). https://pith.science/paper/JY5WHLZQ
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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, 3,514 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.43 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.19 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v6. Results and the main claim are underlined; .

We derive a characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the ultraviolet limits, respectively. We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the Sinh-Gordon model completely in both of these limits. The evidence includes some nontrivial relations to Liouville theory.

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 characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. contribution 0.72 0.96 0.38 asserted 1.00
s1 There exists a large class of solutions to these equations which allows a continuation between the infrared and the ultraviolet limits, respectively. result 0.91 0.66 0.11 asserted 1.00
s2 We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the Sinh-Gordon model completely in both of these limits. result 0.62 0.86 0.59 hedged possibility 0.67
s3 The evidence includes some nontrivial relations to Liouville theory. result 0.49 0.75 0.05 asserted 0.91

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.83.

What was examined, and what was not

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  • arXiv listing abstract v6
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 derive a characterization of the spectrum of the Sinh-Gordon model in terms of certain nonlinear integral equations. There exists a large class of solutions to these equations which allows a continuation between the infrared and the ultraviolet limits, respectively. We present nontrivial evidence for the claim that the class of solutions in question describes the spectrum of the Sinh-Gordon model completely in both of these limits. The evidence includes some nontrivial relations to Liouville theory.

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References
How the literature uses it

25 arXiv papers cite this in 41 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 · 26 sentences without a confident label

Uses its method or tool 1 paper
  • For excited states, the exact finite volume energies can be obtained either by careful analytic continuations of the ground state TBA (following [ref] ), or by examining the continuum limit of an integrable lattice regularization [ref] .

    Approaching the Self-Dual Point of the Sinh-Gordon model · Generalized TBA equations for Ground and Excited State Energies · 0.85

Compares with it 1 paper
  • The finite volume spectrum for $M$-particle state in sinh-Gordon model are determined by the following non-linear integral equations [ref] , [equation] where $S(θ)$ is the $S$-matrix which is given by [equation] and $σ(θ), K(θ)$, convolution integral $f*g(θ)$ are defined as follows: [equation] The parameters $θ_j (j=1,…,M)$ are determined by the equation $logY(θ_j+iπ/2)=(2n_j+1)iπ$ where $n_j$ is an integer.

    Finite-Size Effects for Multi-Magnon States · Comparison with exact results in sinh-Gordon model · 0.92

Cites it as background 10 papers
  • Conversely, for its twin, the sinh-Gordon model, the situation is not so simple: the lattice regularization, in this case, takes the form of a much more complicated model, where the Boltzmann weights are defined in terms of the R-matrix of the tensor product of two infinite-dimensional representations of $U_q(𝔰̂𝔩̂_2)$ [ref] .

    On sinh-Gordon Thermodynamic Bethe Ansatz and fermionic basis · Introduction · 0.86

  • Since the initial results of [ref] and then [ref] , the ODE/IM correspondence has been used in various branches of physics ranging from condensed matter [ref] to PT-symmetric quantum mechanics [ref] , and from boundary conformal field theory [ref] to the study of non-compact sigma models [ref] .

    On the ODE/IM correspondence for minimal models · Introduction · 0.93

  • In this section we summarize the exact description of the finite volume energy spectrum together with its large and small volume formulations [ref] .

    Diagonal finite volume matrix elements in the sinh-Gordon model · Energy spectrum · 0.92

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