Characters of lattice fermions based on the hyperdiamond lattice

Taro Kimura, Tatsuhiro Misumi

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)415-432
Number of pages18
JournalProgress of Theoretical Physics
Issue number3
Publication statusPublished - 2010 Sept
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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