On the Dimensional Reduction Procedure

Details On the Dimensional Reduction Procedure On the Dimensional Reduction Procedure

2000-08-07

arxiv.org/abs/hep-th/0008061v2

Nucl.Phys. B602 (2001) 383-398

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, enlarged discussion added in Sec 3 and typos corrected. Version to appear in Nucl. Phys. B

Scientific paper

The issue related to the so-called dimensional reduction procedure is revisited within the Euclidean formalism. First, it is shown that for symmetric spaces, the local exact heat-kernel density is equal to the reduced one, once the harmonic sum has been succesfully performed. In the general case, due to the impossibility to deal with exact results, the short time heat-kernel asymptotics is considered. It is found that the exact heat-kernel and the dimensionally reduced one coincide up to two non trivial leading contributions in the short time expansion. Implications of these results with regard to dimensional-reduction anomaly are discussed.

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