Characters of lattice fermions based on the hyperdiamond lattice

Taro Kimura, Tatsuhiro Misumi

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)415-432
Number of pages18
JournalProgress of Theoretical Physics
Volume124
Issue number3
DOIs
Publication statusPublished - 2010 Sep
Externally publishedYes

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fermions
poles
excitation
propagation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Characters of lattice fermions based on the hyperdiamond lattice. / Kimura, Taro; Misumi, Tatsuhiro.

In: Progress of Theoretical Physics, Vol. 124, No. 3, 09.2010, p. 415-432.

Research output: Contribution to journalArticle

Kimura, Taro ; Misumi, Tatsuhiro. / Characters of lattice fermions based on the hyperdiamond lattice. In: Progress of Theoretical Physics. 2010 ; Vol. 124, No. 3. pp. 415-432.
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