AI 中文总结
该研究在平行板边界条件下构造杨-米尔斯理论的Gribov副本，讨论涌现的边界规范不变性，为后续非微扰研究非阿贝尔卡西米尔效应提供基础。
AI 中文摘要
首先，我们在存在两块平行板且施加理想电导体（PEC）或理想磁导体（PMC）边界条件的情况下，明确构造了杨-米尔斯Faddeev-Popov算子的零模，这确立了具有非平凡界面的杨-米尔斯理论中存在有限作用量、甚至有限L₂范数的Gribov副本。我们采用Henyey的构造方法，不过边界构型对规范场的假设施加了额外限制。其次，我们讨论了杨-米尔斯理论中PEC和PMC板的涌现边界规范不变性现象，这在将Gribov-Zwanziger方法应用于平行板装置时将具有重要意义，而这类装置对未来非微扰研究非阿贝尔卡西米尔效应具有相关性。
英文摘要
First, we explicitly construct zero-modes of the Yang-Mills Faddeev-Popov operator in the presence of two parallel plates, with either perfect electric (PEC) or perfect magnetic (PMC) boundary conditions imposed. This establishes the existence of Gribov copies with finite action, and even finite L_2-norm, in Yang-Mills theory with non-trivial interfaces. We adapt Henyey's construction, although the boundary configuration imposes extra restrictions on the ansatz for the gauge field. Second, we discuss the phenomenon of an emergent boundary gauge invariance for PEC and PMC plates in Yang-Mills theory. This shall be important when applying the Gribov-Zwanziger procedure to parallel plate setups, of relevance for non-perturbatively studying the non-Abelian Casimir effect in the future.
Comments16 pages, 6 .jpg figures
