Fractional topological charge in lattice Abelian gauge theory
Fractional topological charge in lattice Abelian gauge theory
复制标题
格子阿贝尔规范理论中的分数拓扑荷
DOI：
10.1093/ptep/ptad009
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发表时间：
2023
影响因子：
3.5
通讯作者：
Suzuki Hiroshi
中科院分区：
文献类型：
--
作者：
Abe Motokazu;Morikawa Okuto;Suzuki Hiroshi
通过推广Lüscher的压缩，使得上循环条件包含元素（'t Hooft通量），我们从紧致U（1）格点规范场构造了T4上的非平凡主丛.这种构造需要格点规范场组态的容许条件。由这样构造的跃迁函数，我们得到了在格点时间反演变换下具有单形式规范不变和奇性的分数拓扑荷。假设维滕效应所建议的真空角θ →qθ的重新标度，我们的构造提供了一个具有电荷物质场的U（1）规范理论中的一种形式对称性和时间反演对称性之间的混合't Hooft异常的晶格实现，当θ = π时，本田和谷崎[J.高能物理12，154（2020）]在连续统框架下研究了这一点。
We construct a non-trivialprincipal bundle onT4from the compactU(1) lattice gauge field by generalizing Lüscher’s constriction so that the cocycle condition containselements (the ’t Hooft flux). The construction requires an admissibility condition on lattice gauge field configurations. From the transition function so constructed, we have the fractional topological charge that isone-form gauge invariant and odd under the lattice time reversal transformation. Assuming a rescaling of the vacuum angle θ →qθ suggested from the Witten effect, our construction provides a lattice implementation of the mixed ’t Hooft anomaly between theone-form symmetry and the time reversal symmetry in theU(1) gauge theory with matter fields of chargewhen θ = π, which was studied by Honda and Tanizaki [J. High Energy Phys.12, 154 (2020)] in the continuum framework.