Dai-Freed theorem and topological phases of matter

Kazuya Yonekura

研究成果: Contribution to journalArticle

14 引用 (Scopus)

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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.

元の言語英語
記事番号22
ジャーナルJournal of High Energy Physics
2016
発行部数9
DOI
出版物ステータス出版済み - 9 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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