### Abstract

On a lattice, we construct an overlap Dirac operator which describes the propagation of a Dirac fermion in external gravity. The local Lorentz symmetry is manifestly realized as a lattice gauge symmetry, while the general coordinate invariance is expected to be restored only in the continuum limit. The lattice index density in the presence of a gravitational field is calculated.

Original language | English |
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Journal | Proceedings of Science |

Volume | 32 |

Publication status | Published - Jan 1 2006 |

Externally published | Yes |

Event | 24th International Symposium on Lattice Field Theory, LATTICE 2006 - Tucson, United States Duration: Jul 23 2006 → Jul 28 2006 |

### All Science Journal Classification (ASJC) codes

- General

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## Cite this

So, H., Hayakawa, M., & Suzuki, H. (2006). Overlap fermion in external gravity.

*Proceedings of Science*,*32*.