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Information metric on instanton moduli spaces in nonlinear σ models

Shigeaki Yahikozawa*

  • Department of Physics, Rikkyo University, Tokyo 171-8501, Japan

  • *Email address: yahiko@rikkyo.ac.jp
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Phys. Rev. E 69, 026122 – Published 27 February, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.026122

Abstract

We study the information metric on instanton moduli spaces in two-dimensional nonlinear σ models. In the CP1 model, the information metric on the moduli space of one instanton with the topological charge Q=k(k>~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 4k2/3; this means that the sectional curvature is −3/4k2. We also calculate the information metric in the CP2 model.

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Outline

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Phys. Rev. E 69, 026122– Published 27 February, 2004
  • Received 25 July 2003

© 2004 American Physical Society

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