A study of practical implementations of the Overlap-Dirac operator in four dimensions
A study of practical implementations of the Overlap-Dirac operator in four dimensions
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Overlap-Dirac算子在四个维度上的实际实现研究
DOI：
10.1016/s0550-3213(98)00694-4
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Rajamani Narayanan
中科院分区：
文献类型：
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作者：
Robert G. Edwards;Urs M. Heller;Rajamani Narayanan
本文研究了四维空间中重叠Dirac算子D <$0 = 1 2 [1+γ <$（Hw）]的三种实际实现.两种实现方式是基于不同的表示法的Et（Hw）作为一个总和极点。其中一个是极分解，另一个是多项式比率的最佳拟合。第三种方法是用Gegenbauer多项式表示Hw，称为分数阶逆方法。在给出厄米算符H 0 = γ5D 0的一些谱性质之后，我们研究了它在光滑SU（2）瞬子中的谱性质，目的是比较D 0的三种实现.我们还给出了在β = 2.5时在84格点上产生的SU（2）规范场背景的一些结果。手征性质已得到数值验证。
We study three practical implementations of the overlap Dirac operator D ̵0= 1 2 [1+γϵ( Hw)] in four dimensions. Two implementations are based on different representations of ϵ(Hw) as a sum over poles. One of them is a polar decomposition and the other is an optimal fit to a ratio of polynomials. The third one is obtained by representing ϵ(Hw) using Gegenbauer polynomials and is referred to as the fractional inverse method. After presenting some spectral properties of the Hermitian operator H0= γ5D ̵0, we study its spectrum in a smooth SU(2) instanton properties of the with the aim of comparing the three implementations of D0. We also present some results in SU(2) gauge field backgrounds generated at β = 2.5 on an 84lattice. Chiral properties have been numerically verified.