1+1维O(3)σ模型的参数化和静态解的稳定性

Parametrizations and Stability of the Static Solution in the O(3) Sigma Model in 1+1 Dimension

在拓扑非平庸的场流形中，对不同的参数化，能量泛函的二阶变分可能不同，从而可能导出关于驻点稳定性的矛盾结论．本文研究了１ ＋ １ 维Ｏ（３）ｓｉｇｍａ 模型。

With different parametrizations, the second variation of a energy functional may be different on a topological nontrival field manifold, that may lead to contradictory conclusion about the stability of a classical solution. In this paper, a static solution in the O(3) sigma model in 1+1 dimension is studied. The correct second variation of its energy functional is given by means of path integral.