论文标题
具有壁板球目标空间的非线性Sigma模型的经典和量子方面
Classical and quantum aspects of non-linear sigma models with a squashed sphere target space
论文作者
论文摘要
考虑了具有$ SU（N）\ Times U（1）$对称目标空间的非线性Sigma模型的各个方面。在$ n = 2 $的情况下，讨论了三维拓扑缺陷，这些缺陷与沮丧的磁系统有关，并且可能会为Skyrme模型提供新的视角。审查和澄清了文献中早期提到的大型$ n $扩展与较弱的耦合扩展之间的明显差异。开发了以$ n $的子领先顺序扩展操作员产品扩展的系统方法，并作为跨系列扩展了Spinon的两点功能，其中显示了Borel平面中的所有歧义。
Various aspects of non-linear sigma models with an $SU(N)\times U(1)$ symmetric target space are considered. In the case $N=2$, three-dimensional topological defects are discussed which are relevant for frustrated magnetic systems and which may offer a new perspective on the Skyrme model. An apparent discrepancy between the large $N$ expansion and the weak coupling expansion noted earlier in the literature is reviewed and clarified. A systematic approach to the operator product expansion at sub-leading order in large $N$ is developed and the spinon two-point function is expanded as a trans-series in which all ambiguities in the Borel plane are shown to cancel.
