论文标题
由于重力引起的浆果连接的协变形式主义
Covariant formalism for the Berry connection due to gravity
论文作者
论文摘要
众所周知，狄拉克颗粒在电磁场中移动时会获得几何相，即浆果相。由于电磁场，研究人员已经显示了浆果连接的协变形式主义。由于重力的存在，预计会发生类似的效果。我们使用WKB近似在Einstein Gravity的存在下发展出类似浆果的连接的协变形式，可进一步用于描述类似浆果的相位或简单的浆果相。我们还将这种形式主义扩展到无质量的狄拉克颗粒（Weyl颗粒）。然后我们进一步表明，这种连接可以分为两个部分，当指标在球形上对称时，其中一部分消失了，因此可以与3 + 1正式中的aharonov-bohm样效应链接。同时，另一个术语可能与pancharatnam-berry效果有关。
It is well-known that Dirac particles gain geometric phase, namely Berry phase, while moving in an electromagnetic field. Researchers have already shown covariant formalism for the Berry connection due to an electromagnetic field. A similar effect is expected to happen due to the presence of Gravity. We use WKB approximation to develop a covariant formalism of Berry-like connection in the presence of Einstein gravity, which can be further used to describe the Berry-like phase or simply Berry phase. We also extend this formalism for massless Dirac particles (Weyl particles).Then we further show that this connection can be split into two parts, one of which vanishes when the metric is spherically symmetric and thus can be linked to the Aharonov-Bohm-like effect in the 3 + 1 formalism. At the same time, the other term can be related to the Pancharatnam-Berry like effect.
