Abstract
A Randall-Sundrum-type brane-cosmological model in which slow-roll inflation on the brane is driven solely by a bulk scalar field was recently proposed by Himemoto and Sasaki. We analyze their model in detail and calculate the quantum fluctuations of the bulk scalar field φ with m2 = V″(Φ). We decompose the bulk scalar field into the infinite mass spectrum of four-dimensional fields; the field with the smallest mass square, called the zero mode, and the Kaluza-Klein modes above it with a mass gap. We find the zero-mode dominance of the classical solution holds if |m2|l̄2≪1, where l̄ is the curvature radius of the effectively anti-de Sitter bulk, but it is violated if |m2|l̄2≫1, though the violation is very small. Then we evaluate the vacuum expectation value 〈δφ2〉 on the brane. We find the zero-mode contribution completely dominates if |m2|l-2≪1, similar to the case of classical background. In contrast, we find the Kaluza-Klein contribution is small but non-negligible if the value of |m2|l-2 is large.
| Original language | English |
|---|---|
| Article number | 024014 |
| Pages (from-to) | 240141-240149 |
| Number of pages | 9 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 65 |
| Issue number | 2 |
| Publication status | Published - Jan 15 2002 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
Quantum fluctuations in brane-world inflation without an inflaton on the brane. / Sago, Norichika; Himemoto, Yoshiaki; Sasaki, Misao.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 65, No. 2, 024014, 15.01.2002, p. 240141-240149.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quantum fluctuations in brane-world inflation without an inflaton on the brane
AU - Sago, Norichika
AU - Himemoto, Yoshiaki
AU - Sasaki, Misao
PY - 2002/1/15
Y1 - 2002/1/15
N2 - A Randall-Sundrum-type brane-cosmological model in which slow-roll inflation on the brane is driven solely by a bulk scalar field was recently proposed by Himemoto and Sasaki. We analyze their model in detail and calculate the quantum fluctuations of the bulk scalar field φ with m2 = V″(Φ). We decompose the bulk scalar field into the infinite mass spectrum of four-dimensional fields; the field with the smallest mass square, called the zero mode, and the Kaluza-Klein modes above it with a mass gap. We find the zero-mode dominance of the classical solution holds if |m2|l̄2≪1, where l̄ is the curvature radius of the effectively anti-de Sitter bulk, but it is violated if |m2|l̄2≫1, though the violation is very small. Then we evaluate the vacuum expectation value 〈δφ2〉 on the brane. We find the zero-mode contribution completely dominates if |m2|l-2≪1, similar to the case of classical background. In contrast, we find the Kaluza-Klein contribution is small but non-negligible if the value of |m2|l-2 is large.
AB - A Randall-Sundrum-type brane-cosmological model in which slow-roll inflation on the brane is driven solely by a bulk scalar field was recently proposed by Himemoto and Sasaki. We analyze their model in detail and calculate the quantum fluctuations of the bulk scalar field φ with m2 = V″(Φ). We decompose the bulk scalar field into the infinite mass spectrum of four-dimensional fields; the field with the smallest mass square, called the zero mode, and the Kaluza-Klein modes above it with a mass gap. We find the zero-mode dominance of the classical solution holds if |m2|l̄2≪1, where l̄ is the curvature radius of the effectively anti-de Sitter bulk, but it is violated if |m2|l̄2≫1, though the violation is very small. Then we evaluate the vacuum expectation value 〈δφ2〉 on the brane. We find the zero-mode contribution completely dominates if |m2|l-2≪1, similar to the case of classical background. In contrast, we find the Kaluza-Klein contribution is small but non-negligible if the value of |m2|l-2 is large.
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M3 - Article
VL - 65
SP - 240141
EP - 240149
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 2
M1 - 024014
ER -