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Excitation of Kaluza-Klein modes of U(1) field by parametric resonance
General Relativity and Quantum Cosmology · Submitted 10 May 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified.
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In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified. This is a restatement of the criterion proposed previously [S. Mukohyama, Phys. Rev. {\bf D57}, 6191 (1998)]. As an example, we consider a model of compactification by a sphere and investigate Kaluza-Klein modes of U(1) field. In this case the parametric resonance is so mild that the sphere model is not ruled out.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified. | contribution 0.93 | 0.73 | 0.86 | asserted 0.99 |
| s1 | This is a restatement of the criterion proposed previously [S. | background 0.97 | 0.12 | 0.06 | asserted 0.88 |
| s2 | Mukohyama, Phys. Rev. {\bf D57}, 6191 (1998)]. | background 1.00 | 0.04 | 0.03 | unclear 0.73 |
| s3 | As an example, we consider a model of compactification by a sphere and investigate Kaluza-Klein modes of U(1) field. | method 0.57 | 0.83 | 0.04 | asserted 0.82 |
| s4 | In this case the parametric resonance is so mild that the sphere model is not ruled out. | result 0.86 | 0.84 | 0.17 | asserted 0.99 |
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Original abstract
In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified. This is a restatement of the criterion proposed previously [S. Mukohyama, Phys. Rev. {\bf D57}, 6191 (1998)]. As an example, we consider a model of compactification by a sphere and investigate Kaluza-Klein modes of U(1) field. In this case the parametric resonance is so mild that the sphere model is not ruled out.
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