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Staggered Fermion, its Symmetry and Ichimatsu-Patterned Lattice

arXiv:hep-lat/0411037 · doi:10.1016/j.nuclphysbps.2004.11.155

Abstract

We investigate exact symmetries of a staggered fermion in D dimensions. The Dirac operator is reformulated by SO(2D) Clifford algebra. The chiral symmetry, rotational invariance and parity symmetries are clarified in any dimension. Local scalar and pseudo-scalar modes are definitely determined, in which we find non-standard modes. The relation to Ichimatsu-patterned lattice approach is discussed.

3 pages, 1 figure, "Talk at Lattice2004(theory), Fermilab, June 21-26, 2004"