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Affine Toda Systems Coupled to Matter Fields
High Energy Physics - Theory · Submitted 14 Dec 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This leads to the confinement of the matter field inside the solitons, which can be regarded as a one dimensional bag model for QCD.
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The abstract, sentence by sentence
We investigate higher grading integrable generalizations of the affine Toda systems. The extra fields, associated to non zero grade generators, obey field equations of the Dirac type and are regarded as matter fields. The models possess soliton configurations, which can be interpreted as particles of the theory, on the same footing as those associated to fundamental fields. A special subclass of these models is remarkable. They possess a $U(1)$ Noether current which, after a special gauge fixing of the conformal symmetry, is proportional to a topological current. This leads to the confinement of the matter field inside the solitons, which can be regarded as a one dimensional bag model for QCD. These models are also relevent to the study of electron self--localization in (quasi)-one-dimensional electron--phonon systems.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate higher grading integrable generalizations of the affine Toda systems. | contribution 1.00 | 0.91 | 0.06 | asserted 0.90 |
| s1 | The extra fields, associated to non zero grade generators, obey field equations of the Dirac type and are regarded as matter fields. | contribution 0.45 | 0.53 | 0.08 | asserted 1.00 |
| s2 | The models possess soliton configurations, which can be interpreted as particles of the theory, on the same footing as those associated to fundamental fields. | result 0.82 | 0.71 | 0.20 | asserted 0.96 |
| s3 | A special subclass of these models is remarkable. | result 0.49 | 0.31 | 0.03 | asserted 0.92 |
| s4 | They possess a $U(1)$ Noether current which, after a special gauge fixing of the conformal symmetry, is proportional to a topological current. | result 0.98 | 0.76 | 0.12 | asserted 1.00 |
| s5 | This leads to the confinement of the matter field inside the solitons, which can be regarded as a one dimensional bag model for QCD. | interpretation 0.98 | 0.73 | 0.33 | asserted 0.95 |
| s6 | These models are also relevent to the study of electron self--localization in (quasi)-one-dimensional electron--phonon systems. | interpretation 0.91 | 0.29 | 0.09 | asserted 0.79 |
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The paper
Original abstract
We investigate higher grading integrable generalizations of the affine Toda systems. The extra fields, associated to non zero grade generators, obey field equations of the Dirac type and are regarded as matter fields. The models possess soliton configurations, which can be interpreted as particles of the theory, on the same footing as those associated to fundamental fields. A special subclass of these models is remarkable. They possess a $U(1)$ Noether current which, after a special gauge fixing of the conformal symmetry, is proportional to a topological current. This leads to the confinement of the matter field inside the solitons, which can be regarded as a one dimensional bag model for QCD. These models are also relevent to the study of electron self--localization in (quasi)-one-dimensional electron--phonon systems.
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How the literature uses it
3 arXiv papers cite this in 11 sentences
Papers citing it · 8 sentences without a confident label
Builds on it 2 papers
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We now consider a generalization of the Conformal Bullough-Dood model cbdeqs, on the lines of [ref] , by the introduction of extra fields.
The Bullough-Dodd model coupled to matter fields · The coupling to matter fields · 0.98
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The next step is to introduce a super tau-function formulation which we expect to be a natural generalization of the one introduced in [ref] for the bosonic affine Toda models, where an infinite number of conserved charges $Q_n^±$ were written in terms of the boundary values $B$ of a single tau function $τ$, in the form $Q_n^±∼∂_±nlogτ|_B.$ As we are using a fermionic version of the Toda models coupled to matter fields constructed in [ref] , it is possible that one has to consider a `matrix' of tau functions $τ_mn$ when solving the whole system ([ref]).
Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy · Concluding remarks · 0.80
Cites it as background 1 paper
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Of certain interest are also higher grading [ref] and multi-dimensional [ref] generalizations of Toda systems.
On Z-graded loop Lie algebras, loop groups, and Toda equations · Introduction · 0.80
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