Characters of Lattice Fermions Based on the Hyperdiamond Lattice

Characters of Lattice Fermions Based on the Hyperdiamond Lattice
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基于超金刚石晶格的晶格费米子的特性

DOI:
10.1143/ptp.124.415
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发表时间:
2009
影响因子:
--
通讯作者:
T. Misumi
T. Misumi
中科院分区:
--
文献类型:
--
作者:
Taro Kimura;T. Misumi

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我们研究了最小加倍费米子在超金刚石和变形超金刚石晶格上的作用,重点研究了它们的实空间构造和费米子极激发的洛伦兹协方差。我们提出了变形超金刚石晶格上克鲁茨费米子作用的改进空间构造,并讨论了从费米子传播子的极点产生洛伦兹协变激发的条件。指出非最近邻跳跃对于正确的激励是必不可少的。作为creutz型作用的推广,我们提出了一类定义在变形超立方晶格上的最小加倍作用。此外,我们还引入了一类双参数的wilczek型最小加倍动作。
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 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.
基于高维超金刚石晶格的晶格费米子
DOI: --
发表时间: 2010
期刊: Progress of Theoretical Physics 123
影响因子: --
作者:
木村太郎;三角樹弘
通讯作者: 三角樹弘