论文标题

交错田里的手性晶格费米子

Chiral Lattice Fermions From Staggered Fields

论文作者

Catterall, Simon

论文摘要

我们描述了一个构建晶格理论的建议,我们认为,我们认为可以在连续限制中产生自由的Weyl fermions。该模型采用交错的费米子,并使用FIDKOWSKI-KITAEV类型的位点均衡依赖性Yukawa的相互作用来隔离晶格费米子的子集而不会破坏对称性。这种对称质量产生的可能性与在连续限极限下的某些离散异常的取消有关。后者对晶格费米的数量进行了强大的约束 - 该模型满足的约束。我们在支持此SC的两个维度上为模型提供了数值结果

We describe a proposal for constructing a lattice theory that we argue may be capable of yielding free Weyl fermions in the continuum limit. The model employs reduced staggered fermions and uses site parity dependent Yukawa interactions of Fidkowski-Kitaev type to gap a subset of the lattice fermions without breaking symmetries. The possibility for such symmetric mass generation is tied to the cancellation of certain discrete anomalies arising in the continuum limit. The latter place strong constraints on the number of lattice fermions -- constraints that are satisfied by this model. We present numerical results for the model in two dimensions which support this sc

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