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What Becomes of Vortices in Theories with Flat Directions

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A.A. Penin, V.A. Rubakov, P.G. Tinyakov, S.V. Troitsky

High Energy Physics - Phenomenology · Submitted 5 Sep 1996

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

The authors' main claim In many theories with flat directions of scalar potential, static vortex solutions do not exist for a generic choice of vacuum.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/9609257 (version 1)
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CitationA.A. Penin, P.G. Tinyakov, S.V. Troitsky, V.A. Rubakov. "What Becomes of Vortices in Theories with Flat Directions." arXiv:hep-ph/9609257 (1996). https://pith.science/paper/P3AZ4GJD
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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, 2,992 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 0.12 · compares with prior results 0.17 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In many theories with flat directions of scalar potential, static vortex solutions do not exist for a generic choice of vacuum. In two Euclidean dimensions, we find their substitutes --- constrained instantons consisting of compact core formed by Abrikosov--Nielsen--Olesen vortex and long-ranged cloud of modulus field. In (3+1) dimensions, an initial compact configuration of string topology evolves in such a way that at every point in space the modulus relaxes, in a universal manner, to one and the same value characteristic to the theory.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In many theories with flat directions of scalar potential, static vortex solutions do not exist for a generic choice of vacuum. background 0.95 0.12 0.19 asserted 1.00
s1 In two Euclidean dimensions, we find their substitutes --- constrained instantons consisting of compact core formed by Abrikosov--Nielsen--Olesen vortex and long-ranged cloud of modulus field. result 0.93 0.92 0.26 asserted 1.00
s2 In (3+1) dimensions, an initial compact configuration of string topology evolves in such a way that at every point in space the modulus relaxes, in a universal manner, to one and the same value characteristic to the theory. result 1.00 0.79 0.43 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.77.

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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

In many theories with flat directions of scalar potential, static vortex solutions do not exist for a generic choice of vacuum. In two Euclidean dimensions, we find their substitutes --- constrained instantons consisting of compact core formed by Abrikosov--Nielsen--Olesen vortex and long-ranged cloud of modulus field. In (3+1) dimensions, an initial compact configuration of string topology evolves in such a way that at every point in space the modulus relaxes, in a universal manner, to one and the same value characteristic to the theory.

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References
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9 arXiv papers cite this in 10 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 · 8 sentences without a confident label

Cites it as background 2 papers
  • The simplest case with anti-fundamental matter, i.e., the case of $N=N=1$, was studied for a bosonic theory [ref] and an $𝒩=1$ supersymmetric theory [ref] .

    Vortex counting from field theory · Adding anti-fundamental matters · 0.92

  • In the model discussed in this paper, this is not a priori clear due to the presence of massless degrees of freedom (see Ref. [ref] for some of the subtleties associated with the massless case).

    On the Stability of Non-Abelian Semi-local Vortices · Introduction · 0.81

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