Dai-Freed定理与物质的拓扑相
Dai-Freed theorem and topological phases of matter
摘要：
本文描述了Dai和Freed关于Atiyah-Patodi-Singer η-不变量定理的一个物理推导，该定理对物质的反常和拓扑相具有重要意义。这是通过研究一个巨大的费米子来实现的。在大质量极限下，费米子的希尔伯特空间中的基态的波函数起着关键的作用。基态取行列式线丛中的值，并具有非平凡的Berry相，其表征了低能拓扑相。
英文摘要：
We describe a physics derivation of theorems due to Dai and Freed about the Atiyah-Patodi-Singer eta-invariant which is important for anomalies and topological phases of matter. This is done by studying a massive fermion. The key role is played by the wave function of the ground state in the Hilbert space of the fermion in the large mass limit. The ground state takes values in the determinant line bundle and has nontrivial Berry phases which characterize the low energy topological phases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
