From domain wall to overlap in 2 + 1d
From domain wall to overlap in 2 + 1d
复制标题
从磁畴壁到重叠 2 1d
DOI：
10.1016/j.physletb.2016.01.037
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发表时间：
2015
影响因子：
4.4
通讯作者：
S. Hands
中科院分区：
文献类型：
--
作者：
S. Hands
在具有奇偶不变质量项的2+ 1时空维晶格规范理论中，证明了畴壁和重叠费米子公式的等价性。尽管区域壁方法区分了沿第三方向传播的投影1 2(1±γ 3)，但在γ 3和γ 5互换的情况下，有限壁分离ls得到的截断重叠算子是不变的。在极限L s→∞下，得到的Ginsparg-Wilson关系恢复了期望的U （2n f）全局对称性，可达O (a)个修正。最后证明了与动态质量产生有关的双线性凝聚的有限l s修正的特征是是否存在对称破缺质量的偶幂；这些项对于反厄米特双线性如i ψ¯γ 3 ψ是不存在的，显著地改进了接近大l s极限的方法。
The equivalence of domain wall and overlap fermion formulations is demonstrated for lattice gauge theories in 2+ 1 spacetime dimensions with parity-invariant mass terms. Even though the domain wall approach distinguishes propagation along a third direction with projectors 1 2 (1±γ 3), the truncated overlap operator obtained for finite wall separation L s is invariant under interchange of γ 3 and γ 5. In the limit L s→∞ the resulting Ginsparg–Wilson relations recover the expected U (2 N f) global symmetry up to O (a) corrections. Finally it is shown that finite-L s corrections to bilinear condensates associated with dynamical mass generation are characterised by whether even powers of the symmetry-breaking mass are present; such terms are absent for antihermitian bilinears such as i ψ¯ γ 3 ψ, markedly improving the approach to the large-L s limit.
影响因子：
5
作者：
D. Schmidt;B. Wellegehausen;A. Wipf
通讯作者：
D. Schmidt;B. Wellegehausen;A. Wipf