裤子时空中的索金-约翰斯顿态
The Sorkin-Johnston State in a Patch of the Trousers Spacetime
摘要：
利用Sorkin-Johnston方法研究了固定的、拓扑变化的、$1+1$维“裤子”时空中的量子标量场。贴片的等距群是二面体群，正方形的对称群。该理论被证明是病态的方式，可以被解释为拓扑结构的变化引起的发散能量，与以前的结果一致。与以前的结果相比，它表明，无限的能量不仅局限于未来的光锥的拓扑结构变化的奇点，而且在过去的锥，由于时间反演对称性的索金-约翰斯顿状态。
英文摘要：
A quantum scalar field in a patch of a fixed, topology-changing, $1+1$ dimensional "trousers" spacetime is studied using the Sorkin-Johnston formalism. The isometry group of the patch is the dihedral group, the symmetry group of the square. The theory is shown to be pathological in a way that can be interpreted as the topology change giving rise to a divergent energy, in agreement with previous results. In contrast to previous results, it is shown that the infinite energy is localised not only on the future light cone of the topology changing singularity, but also on the past cone, due to the time reversal symmetry of the Sorkin-Johnston state.
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