dorsal/arxiv
View SchemaInformation Metric on Instanton Moduli Spaces in Nonlinear Sigma Models
| Authors | Shigeaki Yahikozawa |
|---|---|
| Categories | |
| ArXiv ID | physics/0307131 |
| URL | https://arxiv.org/abs/physics/0307131 |
| DOI | 10.1103/PhysRevE.69.026122 |
| Journal | Phys.Rev. E69 (2004) 026122 |
Abstract
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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"abstract": "We study the information metric on instanton moduli spaces in two-dimensional\nnonlinear sigma models. In the CP^1 model, the information metric on the moduli\nspace of one instanton with the topological charge Q=k which is any positive\ninteger is a three-dimensional hyperbolic metric, which corresponds to\nEuclidean anti--de Sitter space-time metric in three dimensions, and the\noverall scale factor of the information metric is (4k^2)/3; this means that the\nsectional curvature is -3/(4k^2). We also calculate the information metric in\nthe CP^2 model.",
"arxiv_id": "physics/0307131",
"authors": [
"Shigeaki Yahikozawa"
],
"categories": [
"physics.data-an",
"hep-th"
],
"doi": "10.1103/PhysRevE.69.026122",
"journal_ref": "Phys.Rev. E69 (2004) 026122",
"title": "Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models",
"url": "https://arxiv.org/abs/physics/0307131"
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