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Analytic theory of discontinuities in current-carrying cosmic strings

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Ernst Trojan

High Energy Physics - Theory · Submitted 2 Dec 2013

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

The authors' main claim Equations of discontinuities and conditions of their existence are derived from the intrinsic and extrinsic equations of motion.

how it is stated · asserted 1.00 read the record →

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arXiv ID1312.4845 (version 2)
Pith IDTSBSY66Z, Pith's permanent record of this paper and its review
CitationErnst Trojan. "Analytic theory of discontinuities in current-carrying cosmic strings." arXiv:1312.4845 (2013). https://pith.science/paper/TSBSY66Z
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,856 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We formulate an analytic method to study the discontinuities in superconducting cosmic strings. Equations of discontinuities and conditions of their existence are derived from the intrinsic and extrinsic equations of motion. It is the fundamental for research of particular solutions, associated with kinks, cusps and shocks.

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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 We formulate an analytic method to study the discontinuities in superconducting cosmic strings. contribution 0.76 0.94 0.14 asserted 1.00
s1 Equations of discontinuities and conditions of their existence are derived from the intrinsic and extrinsic equations of motion. method 0.50 0.91 0.18 asserted 1.00
s2 It is the fundamental for research of particular solutions, associated with kinks, cusps and shocks. interpretation 0.86 0.31 0.18 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.80 · evidence from proof or derivation 1.00.

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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

We formulate an analytic method to study the discontinuities in superconducting cosmic strings. Equations of discontinuities and conditions of their existence are derived from the intrinsic and extrinsic equations of motion. It is the fundamental for research of particular solutions, associated with kinks, cusps and shocks.

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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

What it cites · 11 sentences without a confident label

Cites as background 5 papers
  • The equations of motion of such current-carrying or ”superconducting” string include a pair of ”intrinsic” equations [ref] [equation] [equation] and a pair of ”extrinsic” equations [equation] [equation] where [equation] are the parallel and orthogonal projective tensors, composed of mutually orthogonal time-like and space-like unit vectors [equation] and quantities $U$, $T$, $μ=dU/dn$, $n=-dT/dμ$ are dependent on the current $χ$ and obey relations $μ^2=K^2n^2=K̅^-2n^2$ at space-like currents (”magnetic” regime) and $μ^2=K^-2n^2=K̅^2n^2$ at time-like currents (”electric” regime) where parameter $K=K̅^-1=2dΛ/dχ$ is determined by explicit functional dependence $Λ( χ)$ or $μ( n)$, called as equation of state (EOS) [ref] .

    Supersonic String Model for Witten Vortices · Introduction · 0.89

  • Finite-amplitude perturbations of the string worldsheet are known as kinks and cusps [ref] .

    Kinks and small-scale structure on cosmic strings · Introduction · 0.88

  • Finite-amplitude perturbations of the string worldsheet are known as kinks and cusps [ref] .

    Shape of Cosmic String Loops · Introduction · 0.88

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