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.
|Journal||Proceedings of Science|
|Publication status||Published - Jan 1 2006|
|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