A new algebraic approach for calculating the heat kernel in quantum gravity
High Energy Physics - Theory
2009-10-28 v2 General Relativity and Quantum Cosmology
Abstract
It is shown that the heat kernel operator for the Laplace operator on any covariantly constant curved background, i.e. in symmetric spaces, may be presented in form of an averaging over the Lie group of isometries with some nontrivial measure. Using this representation the heat kernel diagonal, i.e. the heat kernel in coinciding points is obtained. Related topics concerning the structure of symmetric spaces and the calculation of the effective action are discussed.
Cite
@article{arxiv.hep-th/9406047,
title = {A new algebraic approach for calculating the heat kernel in quantum gravity},
author = {Ivan G. Avramidi},
journal= {arXiv preprint arXiv:hep-th/9406047},
year = {2009}
}
Comments
31 pages, Plain TeX, 74 KB, no figures; revised version to appear in J. Math. Phys., January, 1996