A new algebraic approach for calculating the heat kernel in quantum gravity

Details A new algebraic approach for calculating the heat kernel in quantum gravity A new algebraic approach for calculating the heat kernel in quantum gravity

1994-06-08

arxiv.org/abs/hep-th/9406047v2

J.Math.Phys. 37 (1996) 374-394

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Plain TeX, 74 KB, no figures; revised version to appear in J. Math. Phys., January, 1996

Scientific paper

10.1063/1.531396

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.

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