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Prog. Theor. Phys. Vol. 124 No. 3 (2010) pp. 415-432

Characters of Lattice Fermions Based on the Hyperdiamond Lattice

Taro Kimura¹ and Tatsuhiro Misumi²

¹Department of Basic Science, University of Tokyo, Tokyo 153-8902, Japan
²Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

(Received April 13, 2010; Revised July 14, 2010)

Abstract:

We study minimal-doubling fermion actions on hyperdiamond and deformed-hyperdiamond lattices, with emphasis on the real-space construction of them and Lorentz covariance of excitations from fermion poles. We propose the improved spatial construction of Creutz fermion action on a deformed hyperdiamond lattice, and discuss conditions for a hyperdiamond-lattice action to produce Lorentz-covariant excitations from poles of fermion propagators. It is pointed out that the non-nearest-site hoppings are essential for the correct excitations. We also propose a class of minimal-doubling actions defined on a deformed hypercubic lattice as a generalization of Creutz-type actions. In addition we introduce a two-parameter class of Wilczek-type minimal-doubling actions.

Subject Index : 138
URL : http://ptp.ipap.jp/link?PTP/124/415/
DOI : 10.1143/PTP.124.415

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