Domain wall fermions and chiral gauge theories
Domain wall fermions and chiral gauge theories
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畴壁费米子和手性规范理论
DOI：
10.1016/0370-1573(95)00081-x
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
K. Jansen
中科院分区：
文献类型：
--
作者：
K. Jansen
本文综述了用畴壁费米子方法构造格点手征规范理论的现状。在这个模型中，增加了额外的第五维，我们的4维世界生活在由孤立子形状的质量缺陷引起的畴壁上，该缺陷仅依赖于额外的维度。我们证明了畴壁模型给出了正确的异常结构时，外部规范场使用。针对格点正则化的手征规范场理论，讨论了两种添加动力学规范场的方法。提出了一种以第五方向作为四维哈密顿量时间轴的方法，使格点保持无穷大。最后，对畴壁费米子模拟QCD作了前景展望。
We review the status of the domain wall fermion approach to construct chiral gauge theories on the lattice. In this model an extra, fifth dimension is added and our 4-dimensional world lives on a domain wall induced by a soliton shaped mass defect that depends on the extra dimension only. We demonstrate that the domain wall model gives the correct anomaly structure when external gauge fields are used. We discuss two ways of adding dynamical gauge fields aiming at a lattice regularized chiral gauge theory. An approach is presented to keep the lattice infinite by regarding the fifth direction as the time-axis of a 4-dimensional Hamiltonian. Finally, a prospect to use domain wall fermions for simulating QCD is given.