Covariant Wigner function approach to the Boltzmann equation for mixing fermions in curved space-time

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

Based on the covariant Wigner function approach we derive the quantum Boltzmann equation for fermions with flavor mixing in general curved space-time. This work gives a rigorous theoretical framework to investigate the flavor oscillation phenomena taking the gravitational effect into account. It is shown that the Boltzmann equation of the lowest order of the expansion with respect to ℏ reproduces the previous result which was derived in the relativistic limit on the Minkowski background space-time. It is demonstrated that the familiar formula for the vacuum neutrino oscillation can be obtained by solving the Boltzmann equation. Higher order effects of the ℏ-expansion are also briefly discussed.

本文言語英語
ページ(範囲)4469-4484
ページ数16
ジャーナルInternational Journal of Modern Physics A
18
24
DOI
出版ステータス出版済み - 9 30 2003
外部発表はい

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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