Higher Berry phase of fermions and index theorem

DOI DOI PDF Web Site 被引用文献3件 参考文献56件 オープンアクセス

書誌事項

公開日
2022-09-02
資源種別
journal article
権利情報
  • https://creativecommons.org/licenses/by/4.0
  • https://creativecommons.org/licenses/by/4.0
DOI
  • 10.1007/jhep09(2022)022
  • 10.48550/arxiv.2205.02188
公開者
Springer Science and Business Media LLC

説明

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>When a quantum field theory is trivially gapped, its infrared fixed point is an invertible field theory. The partition function of the invertible field theory records the response to various background fields in the long-distance limit. The set of background fields can include spacetime-dependent coupling constants, in which case we call the corresponding invertible theory a parameterized invertible field theory. We study such parameterized invertible field theories arising from free Dirac fermions with spacetime-dependent mass parameters using the Atiyah-Patodi-Singer index theorem for superconnections. In particular, the response to an infinitesimal modulation of the mass is encoded into a higher analog of the Berry curvature, for which we provide a general formula. When the Berry curvature vanishes, the invertible theory can still be nontrivial if there is a remaining torsional Berry phase, for which we list some computable examples.</jats:p>

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