TY - JOUR

T1 - Overlap fermion in external gravity

AU - So, Hiroto

AU - Hayakawa, Masashi

AU - Suzuki, Hiroshi

N1 - Funding Information:
This work is supported in part by the Grants-in-Aid for Scientific Research Nos. 13135203, 13135223, 17540242, 18034011 and 18540305 from the Japan Society for the Promotion of Science.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:85055691416

VL - 32

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 24th International Symposium on Lattice Field Theory, LATTICE 2006

Y2 - 23 July 2006 through 28 July 2006

ER -