Overlap fermion in external gravity

Hiroto So, Masashi Hayakawa, Hiroshi Suzuki

Research output: Contribution to journalConference article

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 languageEnglish
JournalProceedings of Science
Volume32
Publication statusPublished - Jan 1 2006
Externally publishedYes
Event24th International Symposium on Lattice Field Theory, LATTICE 2006 - Tucson, United States
Duration: Jul 23 2006Jul 28 2006

Fingerprint

fermions
gravitation
symmetry
gravitational fields
invariance
continuums
operators
propagation

All Science Journal Classification (ASJC) codes

  • General

Cite this

Overlap fermion in external gravity. / So, Hiroto; Hayakawa, Masashi; Suzuki, Hiroshi.

In: Proceedings of Science, Vol. 32, 01.01.2006.

Research output: Contribution to journalConference article

So, Hiroto ; Hayakawa, Masashi ; Suzuki, Hiroshi. / Overlap fermion in external gravity. In: Proceedings of Science. 2006 ; Vol. 32.
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