HEAT KERNEL ON HOMOGENEOUS BUNDLES-Reference-Cited by-同舟云学术

HEAT KERNEL ON HOMOGENEOUS BUNDLES

Published:2008-05 Issue:03 Volume:05 Page:407-429
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

AVRAMIDI IVAN G.¹

Affiliation:

1. New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887808002862

Reference26 articles.

1. The covariant technique for the calculation of the heat kernel asymptotic expansion

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