Random Kähler Metrics

Details Random Kähler Metrics Random Kähler Metrics

2011-07-22

arxiv.org/abs/1107.4575v1

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

The purpose of this article is to propose a new method to define and calculate path integrals over metrics on a K\"ahler manifold. The main idea is to use finite dimensional spaces of Bergman metrics, as an approximation to the full space of K\"ahler metrics. We use the theory of large deviations to decide when a sequence of probability measures on the spaces of Bergman metrics tends to a limit measure on the space of all K\"ahler metrics. Several examples are considered.

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