Yahikozawa Shigeaki
Department of Physics, Rikkyo University, Tokyo 171-8501, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Feb;69(2 Pt 2):026122. doi: 10.1103/PhysRevE.69.026122. Epub 2004 Feb 27.
We study the information metric on instanton moduli spaces in two-dimensional nonlinear sigma models. In the CP1 model, the information metric on the moduli space of one instanton with the topological charge Q=k(k > or =1) is a three-dimensional hyperbolic metric, which corresponds to Euclidean anti-de Sitter space-time metric in three dimensions, and the overall scale factor of the information metric is 4k(2)/3; this means that the sectional curvature is -3/4k(2). We also calculate the information metric in the CP2 model.
我们研究二维非线性西格玛模型中瞬子模空间上的信息度量。在CP1模型中，具有拓扑荷Q = k（k≥1）的单瞬子模空间上的信息度量是三维双曲度量，它对应于三维欧几里得反德西特时空度量，且信息度量的整体尺度因子为4k²/3；这意味着截面曲率为-3 / 4k²。我们还计算了CP2模型中的信息度量。
