Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models

Details Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models

2003-07-25

arxiv.org/abs/physics/0307131v2

Phys.Rev. E69 (2004) 026122

Physics

Data Analysis, Statistics and Probability

9 pages, LaTeX; added references for section 1; typos added

Scientific paper

10.1103/PhysRevE.69.026122

We study the information metric on instanton moduli spaces in two-dimensional nonlinear sigma models. In the CP^1 model, the information metric on the moduli space of one instanton with the topological charge Q=k which is any positive integer 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 CP^2 model.

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