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タイトル: Lattice Fermions Based on Higher-Dimensional Hyperdiamond Lattices
著者: Kimura, Taro
Misumi, Tatsuhiro
キーワード: Subject Index: 133, 138
発行日: 2010年1月
出版者: Progress of Theoretical Physics, Publication Office
掲載誌情報: Progress of Theoretical Physics. Vol. 123, No. 1, January 2010, pp. 63-78
抄録: In this paper we generalize to higher dimensions several types of fermion actions on the hyperdiamond lattice including a two-parameter class of minimal-doubling fermions "Creutz fermion" and a simple fermion with sufficient discrete symmetry "BBTW fermion". Then it is shown that they possess some properties in common with the four-dimensional case: BBTW fermions in higher even dimensions inevitably yield unphysical degrees of freedom. Creutz fermions are defined on the distorted lattices, and they lose the high discrete symmetry of the original lattices. We also find properties specific to the higher-dimensional cases. The parameter range for Creutz action to yield minimal-doubling and physical fermions becomes narrower with the dimension getting higher, and thus it becomes more and more difficult to realize minimal-doubling. In addition, we generalize the subspecies of Creutz and BBTW actions including a new class of minimal-doubling actions "Appended Creutz action".
URI: http://hdl.handle.net/2261/50591
ISSN: 0033068X
出現カテゴリ:014 自然科学
1185010 学術雑誌論文


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