圈过程在相对局部性中的可定向性
Orientability of loop processes in relative locality
摘要：
受最近关于相对定域性回路过程的不寻常性质的研究结果的启发，我们提出了一种在Kappa-Poincare动量空间中对回路进行分类的方法。我们表明，定向性的概念是深深连接到一些基本性质的循环过程。不可定向的环具有“有效曲率”，这明确地破坏了平移对称性，并可能导致因果关系和整体动量守恒的破坏。另一方面，可定向的循环是“平坦的”。“因果关系和全球动量守恒在这种循环中都得到了很好的保护。我们指出，相对定域中的非平凡经典环可以理解为广义相对论的对偶效应，并讨论了它的物理意义。
英文摘要：
Inspired by recent results of unusual properties of loop processes in relative locality, we introduce a way to classify loops in the case of kappa-Poincare momentum space. We show that the notion of orientability is deeply connected to a few essential properties of loop processes. Nonorientable loops have "effective curvature", which explicitly breaks translation symmetry, and can lead to a breaking of causality and global momentum conservation. Orientable loops, on the other hand, are "flat." Causality and global momentum conservation are all well preserved in this kind of loops. We comment that the nontrivial classical loops in relative locality might be understood as dual effects from general relativity, and some physical implications are discussed.
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