标题： 哈密顿量重正化 VII：自由费米子和无倍子核 显示英文标题

标题： Hamiltonian Renormalisation VII: Free fermions and doubler free kernels

摘要： 由构造性量子场论和Osterwalder-Schrader重构所激发的哈密顿重整化计划，最近已针对玻色场理论启动，并扩展到费米子。由于费米子量子化不是基于测度，因此该方案需要进行适度的修改。我们分别对紧致和非紧致空间拓扑的自由费米子示例化该方案（即，有和没有红外截断），并证明最近在一篇相关论文中宣传的方便的狄利克雷或香农粗粒化核导致明显无倍子的流动。 显示英文摘要

摘要： The Hamiltonian renormalisation programme motivated by constructive QFT and Osterwalder-Schrader reconstruction which was recently launched for bosonic field theories is extended to fermions. As fermion quantisation is not in terms of measures, the scheme has to be mildly modified accordingly. We exemplify the scheme for free fermions both for compact and non-compact spatial topologies respectively (i.e. with and without IR cut-off) and demonstrate that the convenient Dirichlet or Shannon coarse graining kernels recently advertised in a companion paper lead to a manifestly doubler free flow.