Random Kahler metrics

被引：15

作者：

Ferrari, Frank ^{[1
,2
]}

Klevtsov, Semyon ^{[1
,2
,3
]}

Zelditch, Steve ^{[4
]}

机构：

[1] Univ Libre Bruxelles, Serv Phys Theor & Math, B-1050 Brussels, Belgium

[2] Int Solvay Inst, B-1050 Brussels, Belgium

[3] ITEP, Moscow 117218, Russia

[4] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

NUCLEAR PHYSICS B | 2013年 / 869卷 / 01期

关键词：

PROJECTIVE EMBEDDINGS; SCALAR CURVATURE; QUANTUM-GRAVITY; FIELD-THEORIES; MONGE-AMPERE; MANIFOLDS; STRINGS; MATRICES; GEOMETRY; ENTROPY;

D O I：

10.1016/j.nuclphysb.2012.11.020

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The purpose of this article is to propose a new method to define and calculate path integrals over metrics on a Kahler manifold. The main idea is to use finite dimensional spaces of Bergman metrics, as an approximation to the full space of Miller 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 Miller metrics. Several examples are considered. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：89 / 110

页数：22

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