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Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string
General Relativity and Quantum Cosmology · Submitted 22 Nov 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that, quite generically, the dimensionless ratio of the variance to the mean-squared values of the current and energy densities are of order unity which suggests that the fluctuations around cosmic strings can be considered to be large.
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We calculate the fluctuations in the current and energy densities for the case of a quantized, minimally coupled, massless, complex scalar field around a straight and infinitesimally thin cosmic string carrying magnetic flux. At zero temperature, we evaluate the fluctuations in the current and energy densities for arbitrary flux and deficit angle. At a finite temperature, we evaluate the fluctuations in the energy density for the special case wherein the flux is absent and the deficit angle equals $\pi$. We find that, quite generically, the dimensionless ratio of the variance to the mean-squared values of the current and energy densities are of order unity which suggests that the fluctuations around cosmic strings can be considered to be large.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We calculate the fluctuations in the current and energy densities for the case of a quantized, minimally coupled, massless, complex scalar field around a straight and infinitesimally thin cosmic string carrying magnetic flux. | contribution 0.99 | 0.95 | 0.05 | asserted 0.94 |
| s1 | At zero temperature, we evaluate the fluctuations in the current and energy densities for arbitrary flux and deficit angle. | contribution 0.87 | 0.96 | 0.04 | asserted 0.98 |
| s2 | At a finite temperature, we evaluate the fluctuations in the energy density for the special case wherein the flux is absent and the deficit angle equals $\pi$. | contribution 0.93 | 0.95 | 0.03 | asserted 0.99 |
| s3 | We find that, quite generically, the dimensionless ratio of the variance to the mean-squared values of the current and energy densities are of order unity which suggests that the fluctuations around cosmic strings can be considered to be large. | interpretation 0.56 | 0.96 | 0.88 | asserted 0.56 |
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Original abstract
We calculate the fluctuations in the current and energy densities for the case of a quantized, minimally coupled, massless, complex scalar field around a straight and infinitesimally thin cosmic string carrying magnetic flux. At zero temperature, we evaluate the fluctuations in the current and energy densities for arbitrary flux and deficit angle. At a finite temperature, we evaluate the fluctuations in the energy density for the special case wherein the flux is absent and the deficit angle equals $\pi$. We find that, quite generically, the dimensionless ratio of the variance to the mean-squared values of the current and energy densities are of order unity which suggests that the fluctuations around cosmic strings can be considered to be large.
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Another physical observable of great interest is the induced quadri-current by quantum vacuum fluctuations associated to charged matter fields and which has been investigated in Refs. [ref] .
Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime · Introduction · 0.88
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