发表机构
Università degli Studi Roma Tre, Mathematics and Physics Department; Università degli Studi di Roma “La Sapienza”, Physics Department; SISSA, Mathematics Area（罗马第三大学数学与物理系; 罗马第一大学物理系; 的里雅斯特国际高等研究学校数学区）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文严格证明了格点正则化下多味Sommerfield模型中手征反常消除的非微扰有效性，发现无关格点算符虽被重整化群抑制，却对反常消除起关键作用，并揭示了与拓扑绝缘体普适性相关的机制。
AI 中文摘要
手征反常消除在微扰论中已被充分理解，但其在存在格点时的非微扰有效性尚未得到证明。我们在格点Kogut-Susskind正则化的一种变体中，针对多味Sommerfield模型（描述狄拉克费米子与非紧致U(1)量子矢量场相互作用），提供了反常消除及其普适性的严格非微扰证明。我们识别出一种新颖且普遍的机制，该机制基于重整化展开的收敛性质，并与导致拓扑绝缘体中普适性的机制相关。无关格点算符尽管在重整化群流中受到抑制，却对反常消除提供了本质贡献。
英文摘要
The Chiral anomaly cancellation is perturbatively well understood but its nonperturbative validity in presence of a lattice has remained unproven. We provide a rigorous nonperturbative proof of anomaly cancellation and its universality in a variation of the lattice Kogut-Susskind regularization for the multiflavor Sommerfield model, describing Dirac fermions interacting with a non-compact $\mathrm{U}(1)$ quantum vector field. We identify a novel and general mechanism based on the convergence properties of the renormalized expansion and related to the one leading to universality in topological insulators. Irrelevant lattice operators, despite being suppressed along the RG flow, provide essential contributions to the anomaly cancellation.
Comments5 pages, 2 figures, 5 supplementary materials
