A Ginsparg-Wilson approach to lattice CP symmetry, Weyl and Majoranna fermions, and the Higgs mechanism
A Ginsparg-Wilson approach to lattice CP symmetry, Weyl and Majoranna fermions, and the Higgs mechanism
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晶格 CP 对称性、Weyl 和 Majoranna 费米子以及 Higgs 机制的 Ginsparg-Wilson 方法
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发表时间：
2010
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通讯作者：
N. Cundy
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作者：
N. Cundy
最近，两个解决方案已经提出了长期存在的问题的$\mathcal{CP}$-对称性的格子，这是特别明显的手征规范理论的建设时考虑。第一个，基于晶格修改$\mathcal{CP}$提出的Igarashi和Pawlowski;第二个由我自己使用重整化群和Ginsparg-Wilson关系。在这项工作中，我联合收割机的两种方法，并表明，它们是一个更一般的框架相关的一个基本的renormalisation组的每一部分。我继续制定外尔和马约拉纳费米子的晶格，并讨论应用费米子传播在希格斯场的存在。
Recently, two solutions have been proposed to the long standing problem of $\mathcal{CP}$-symmetry on the lattice, which is particularly evident when considering the construction of chiral gauge theories. The first, based on a lattice modification of $\mathcal{CP}$ was presented by Igarashi and Pawlowski; the second by myself using the renormalisation group and Ginsparg-Wilson relation. In this work, I combine the two approaches and show that they are each part of a more general framework related to an underlying renormalisation group. I continue by formulating Weyl and Majorana fermions on the lattice, and discussing applications to the fermion propagator in the presence of the Higgs field.