Journal
PHYSICAL REVIEW D
Volume 83, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.83.123523
Keywords
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Funding
- JSPS [22-7477, 22340056, 21740177, 22012004, 21840028]
- Ministry of Education, Culture, Sports, Science and Technology of Japan [467]
- Grants-in-Aid for Scientific Research [10J07477, 22340056, 22012004, 23740179, 21840028, 21740177] Funding Source: KAKEN
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We present a detailed calculation of our previous short paper [M. Shiraishi, D. Nitta, S. Yokoyama, K. Ichiki, and K. Takahashi, Phys. Rev. D 82, 121302 (2010).] in which we have investigated a constraint on the magnetic field strength through comic microwave background temperature bispectrum of vector modes induced from primordial magnetic fields. By taking into account full angular dependence of the bispectrum with spin spherical harmonics and Wigner symbols, we explicitly show that the cosmic microwave background bispectrum induced from the statistical-isotropic primordial vector fluctuations can be also described as an angle-averaged form in the rotationally invariant way. We also study the cases with different spectral indices of the power spectrum of the primordial magnetic fields.
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