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Supersonic String Model for Witten Vortices
High Energy Physics - Phenomenology · Submitted 29 Nov 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Unlike the self dual single mass parameter models previously used for this purpose, the new model successfully represents the effect of current saturation and the feature that wiggle propagation remains supersonic even in the weak current limit.
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The abstract, sentence by sentence
A new cosmic string model specified by two independent mass parameters is introduced for the purpose of providing a realistic representation of the macroscopic dynamical behaviour of Witten type (superconducting) vortex defects of the vacuum. Unlike the self dual single mass parameter models previously used for this purpose, the new model successfully represents the effect of current saturation and the feature that wiggle propagation remains supersonic even in the weak current limit.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A new cosmic string model specified by two independent mass parameters is introduced for the purpose of providing a realistic representation of the macroscopic dynamical behaviour of Witten type (superconducting) vortex defects of the vacuum. | contribution 0.98 | 0.88 | 0.14 | asserted 0.98 |
| s1 | Unlike the self dual single mass parameter models previously used for this purpose, the new model successfully represents the effect of current saturation and the feature that wiggle propagation remains supersonic even in the weak current limit. | result 0.72 | 0.84 | 0.54 | asserted 1.00 |
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The paper
Original abstract
A new cosmic string model specified by two independent mass parameters is introduced for the purpose of providing a realistic representation of the macroscopic dynamical behaviour of Witten type (superconducting) vortex defects of the vacuum. Unlike the self dual single mass parameter models previously used for this purpose, the new model successfully represents the effect of current saturation and the feature that wiggle propagation remains supersonic even in the weak current limit.
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References
How the literature uses it
13 arXiv papers cite this in 26 sentences
Papers citing it · 20 sentences without a confident label
Uses its method or tool 1 paper
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We performed an exhaustive numerical exploration of the solutions of the CVOS model [ref] describing macroscopic quantities (RMS velocity, correlation length, current amplitude and charge) as functions of time for a current-carrying cosmic string network, adopting as the underlying microscopic description the equation of state derived [ref] in the framework of the so-called Witten superconducting cosmic string field theory [ref] .
Cosmological evolution of Witten superconducting string networks · Conclusions · 0.81
Cites it as background 4 papers
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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] .
Analytic theory of discontinuities in current-carrying cosmic strings · Introduction · 0.89
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A first effective model for superconducting cosmic strings was given in [ref] , while a more realistic description was developed in [ref] .
Generalised velocity-dependent one-scale model for current-carrying strings · Introduction · 0.87
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The structure of such objects has been studied in detail for many models, from the original Witten [ref] fermionic [ref] or bosonic kind [ref] , leading to effective equations of state [ref] potentially useful for large scale network simulations [ref] .
Excited cosmic strings with superconducting currents · Introduction · 0.98
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