AI 中文总结
研究借助玻色化在二维修正维兰标量模型构建手征晶格费米子算符，评估其关联函数，所重构晶格狄拉克算符无双倍态且因非局域性符合尼尔森-二宫定理，有限晶格间距下非局域性不妨碍规范模型非反常对称性。
AI 中文摘要
借助玻色化，玻色晶格模型可为手征费米子提供晶格正则化。我们在二维修正维兰标量模型中构建手征晶格费米子算符并评估其关联函数。该微观玻色模型具有超局域作用和超局域对称性，在玻色化下实现费米子手征对称性。重构的晶格狄拉克算符无双倍态，且因非局域性符合尼尔森-二宫定理。有限晶格间距下此导出量的非局域性不妨碍对模型非反常对称性进行规范，该模型本身就是超局域的。
英文摘要
Thanks to bosonization, bosonic lattice models can offer a lattice regularization of chiral fermions. We construct chiral lattice fermion operators in the 2D modified Villain scalar model and evaluate their correlation functions. This microscopic bosonic model has an ultra-local action and an ultra-local symmetry that realizes the fermionic chiral symmetry under bosonization. The reconstructed lattice Dirac operator has no doublers, but is consistent with the Nielsen-Ninomiya theorem because it turns out to be non-local. The non-locality of this derived quantity at finite lattice spacing does not pose any obstructions to gauging the non-anomalous symmetries of the model, which is itself ultra-local.
Comments18 pages, 12 figures. Added explanation for the choice of contact term in the correlation function on the lattice
