Lattice Fermions Based on Higher-Dimensional Hyperdiamond Lattices
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Publication:5306647
DOI10.1143/PTP.123.63zbMATH Open1187.82024arXiv0907.3774OpenAlexW2123245781MaRDI QIDQ5306647
Author name not available (Why is that?)
Publication date: 9 April 2010
Published in: (Search for Journal in Brave)
Abstract: 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, 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".
Full work available at URL: https://arxiv.org/abs/0907.3774
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