Tests of the lattice index theorem

Tests of the lattice index theorem
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DOI:
10.1103/physrevd.77.014515
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发表时间:
2007-10
期刊:
影响因子:
5
通讯作者:
G. Jordan;R. Hoellwieser;M. Faber;U. Heller
G. Jordan;R. Hoellwieser;M. Faber;U. Heller
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
G. Jordan;R. Hoellwieser;M. Faber;U. Heller

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我们研究了厚中心涡的格点指数定理和零模的局部化。对于nonorientable球形涡,重叠狄拉克算子的指数不同的拓扑电荷,虽然从平凡的plaquettes的痕迹偏离最大只有1.5%。这可能与即使在朗道规范中,这些组态的某些环节也靠近非平凡中心元有关。
We investigate the lattice index theorem and the localization of the zero modes for thick classical center vortices. For nonorientable spherical vortices, the index of the overlap Dirac operator differs from the topological charge although the traces of the plaquettes deviate only by a maximum of 1.5% from trivial plaquettes. This may be related to the fact that even in Landau gauge some links of these configuration are close to the nontrivial center elements.