标题： 费米子诱导的涡旋系统的量子作用 显示英文标题

标题： Fermion-induced quantum action of vortex systems

摘要： 研究了狄拉克费米子在最小耦合到阿贝尔涡旋背景场时生成的量子作用量，分别在二维和三维欧几里得空间（D=2+1 和 D=3+1）中进行了探讨。 我们利用最近发展的世界线数值方法，详细分析了单涡旋和双涡旋构型。 研究了由费米子诱导的量子作用量对费米子质量以及涡旋携带的磁通量的依赖性，并计算了双涡旋间的相互作用。 此外，对于 D=3+1 的情况，在中间费米子质量范围内讨论了由稀疏涡旋气体产生的手征凝聚。 作为副产品，我们的发现为导数展开的有效性范围提供了见解，导数展开是处理非均匀背景的标准解析方法。 显示英文摘要

摘要： The quantum action generated by fermions which are minimally coupled to abelian vortex background fields is studied in D=2+1 and D=3+1 Euclidean dimensions. We present a detailed analysis of single- and binary-vortex configurations using the recently developed method of worldline numerics. The dependence of the fermion-induced quantum action on the fermion mass and the magnetic fluxes carried by the vortices is studied, and the binary-vortex interaction is computed. Additionally, we discuss the chiral condensate generated from a dilute gas of vortices in the intermediate fermion mass range for the case D=3+1. As a byproduct, our findings provide insight into the validity limits of the derivative expansion, which is the standard analytical approach to inhomogeneous backgrounds.