弯曲时空中与几何无关的中微子质量
Geometry-free neutrino masses in curved spacetime
摘要：
本文讨论了在弯曲时空中的跷跷板诱导的中微子质量，包括平坦和弯曲的额外维度。对于Majorana体质量和边界质量，利用体费米子的Kaluza-Klein模展开和轻子数违反关联，导出了跷跷板诱导质量的精确形式.发现当度规因子固定在边界上时，可以在不知道波函数和整个背景几何的情况下确定中微子质量，例如通过求解层次问题。
英文摘要：
The seesaw-induced neutrino mass is discussed in a generic class of curved spacetime, including the flat and warped extra dimensions. For Majorana masses in the bulk and on the boundary, the exact forms of seesaw-induced masses are derived by using the Kaluza-Klein mode expansion and the lepton number violating correlator for bulk fermion. It is found that the neutrino mass is determined without the knowledge of wave functions and whole background geometry when the metric factor is fixed on the boundary, e.g. by solving the hierarchy problem.
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