报告人： 郭恒源 中山大学 博士后

报告题目：(De)-Exciting the 3-rd PT Kink：Divergence potential but Finite amplitude

报告时间：2026年7月24日（星期五）下午15：00

报告地点：理工楼1201

邀请人：邓霖

报告摘要：

Reflectionless kink models constitute a remarkable class of exactly solvable scalar field theories whose linear fluctuations are governed by integer-level (denoted by sigma) Pöschl-Teller potentials. While the cases sigma=1 and 2 correspond to the well-known Sine-Gordon and φ^4 theories, the sigma=3 (or higher) model has remained largely unexplored because its non-analytic φ^(8/3) potential leads to a vacuum-divergent cubic interaction. In this talk, I will show that despite this apparent pathology, the leading-order quantum amplitudes for meson-induced excitation and de-excitation of the kink's localized shape modes remain finite. These results indicate that the model is a consistent quantum field theory rather than a pathological exception, and suggest that its mesonic excitations provide a quantum-field-theoretic analogue of the bound states found by Znojil in non-analytic quantum-mechanical potentials.

个人简介：

郭恒源，中山大学逸仙博士后，2018本科毕业于陕西师范大学，2023博士毕业于中科院近代物理研究所，2025-至今为University of Pisa与意大利国家核物理研究所（INFN-Pisa）的国际合作项目博士后。 主要从事拓扑孤子方面的解析及数值求解，以及基于孤子的量子化和动力学研究，目前发表JHEP,PRD等论文7篇，集中于利用1+1维孤子kink 及2+1维孤子Domain wall的量子修正及其非弹性散射概率的计算。