arXiv 0812.21602008-12hep-lat

交错晶格上具有C、P和T对称性的最小加倍手征费米子

Minimally doubled chiral fermions with C, P and T symmetry on the staggered lattice

Jutho Haegeman, Henri Verschelde

备注：: Withdrawn due to the fact that the proposed approach is restricted to discrete chiral symmetry and not easily generalizable to continuous chiral symmetry

摘要：

最近，人们对手征费米子的局域格点作用的兴趣又恢复了，提出了新的局域作用，其中只出现了最少数量的倍增子。石墨烯具有最小加倍的、手性不变的、类狄拉克激发光谱的触发作用不能被忽略。挑战在于构造一个能保持足够对称性的作用量，以便在格点规范计算中使用。我们提出了一种新的方法来获得局部晶格行动的费米子使用交错晶格的方法Kogut和Susskind的重新解释。这种解释是基于在声学和电磁学的FDTD模拟交错网格方法的相似性。它使我们能够构造一个手征费米子的局部作用量，它具有所有的离散对称性和最小的费米子味数，但在实空间中是非厄米的。然而，我们认为这不会对理论的可用性构成威胁。

英文摘要：

Recently, the interest in local lattice actions for chiral fermions has revived, with the proposition of new local actions in which only the minimal number of doublers appear. The trigger role of graphene having a minimally doubled, chirally invariant, Dirac-like excitation spectrum can not be neglected. The challenge is to construct an action which preserves enough symmetries to be useful in lattice gauge calculations. We present a new approach to obtain local lattice actions for fermions using a reinterpretation of the staggered lattice approach of Kogut and Susskind. This interpretation is based on the similarity with the staggered lattice approach in FDTD simulations of acoustics and electromagnetism. It allows us to construct a local action for chiral fermions which has all discrete symmetries and the minimal number of fermion flavors, but which is non-Hermitian in real space. However, we argue that this will not pose a threat to the usability of the theory.

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摘要：

英文摘要：

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