Heat kernel on homogeneous bundles

被引：7

作者：

Avramidi, Ivan G. ^{[1
]}

机构：

[1] New Mexico Inst Min & Technol, Socorro, NM 87801 USA

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2008年 / 5卷 / 03期

关键词：

heat kernel; symmetric spaces; homogeneous bundles;

D O I：

10.1142/S0219887808002862

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider Laplacians acting on sections of homogeneous vector bundles over symmetric spaces. By using an integral representation of the heat semi-group we find a formal solution for the heat kernel diagonal that gives a generating function for the whole sequence of heat invariants. We argue that the obtained formal solution correctly reproduces the exact heat kernel diagonal after a suitable regularization and analytical continuation.

引用

页码：407 / 429

页数：23

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