2009/07/31 by Taro Kimura, Tatsuhiro Misumi · 1 citation
Materials Science · Physics and Astronomy · #Diamond and Carbon-based Materials Research #Rare-earth and actinide compounds #Topological Materials and Phenomena #hep-lat
paper · pdf · doi:10.1143/ptp.123.63
published as Prog.Theor.Phys.123:63-78,2010 · 18 pages, 2 figures. To appear in Prog. Theo. Phys
arxiv created 2009/11/12 · openalex publication_date 2010/01/01 · arxiv updated 2010/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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”.