论文标题
大量规变换，量规不变性和QCD $θ_ {\ text {ym}} $ - 术语
Large gauge transformations, gauge invariance, and the QCD $θ_{\text{YM}}$-term
论文作者
论文摘要
量规自由度的消除性观点 - 它们仅由描述性冗余而产生的观点，因此可以从理论中消除 - 是物理学哲学中的辩论的一个生动的话题。最近的工作试图利用QCD $θ_ {\ text {ym}} $的属性 - 提供针对消除视图的新颖论点。该参数基于以下主张：QCD $θ_ {\ text {ym}} $ - 术语在“大”仪表转换下进行更改。在这里，我们回顾了关于纤维束的几何命题，这些命题明确地伪造了这些主张：$θ_ {\ text {ym}} $ - 术语编码用于表示高度自由度的光纤束的拓扑特征，但它是完全规范的。尽管如此，在这里提到的基本经典观点中，$θ_ {\ text {ym}} $的物理作用 - 术语显示了束拓扑（或其超词）的物理重要性，从而与（幼稚的）消除术相对。
The eliminative view of gauge degrees of freedom -- the view that they arise solely from descriptive redundancy and are therefore eliminable from the theory -- is a lively topic of debate in the philosophy of physics. Recent work attempts to leverage properties of the QCD $θ_{\text{YM}}$-term to provide a novel argument against the eliminative view. The argument is based on the claim that the QCD $θ_{\text{YM}}$-term changes under "large" gauge transformations. Here we review geometrical propositions about fiber bundles that unequivocally falsify these claims: the $θ_{\text{ YM}}$-term encodes topological features of the fiber bundle used to represent gauge degrees of freedom, but it is fully gauge-invariant. Nonetheless, within the essentially classical viewpoint pursued here, the physical role of the $θ_{\text{YM}}$-term shows the physical importance of bundle topology (or superpositions thereof) and thus weighs against (a naive) eliminativism.
