On the Dimensional Reduction Procedure

Abstract

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.

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

References in corpus (6)

• Anomaly induced effective actions and Hawking radiation
• Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions
• Vacuum polarization in the Schwarzschild spacetime and dimensional reduction
• 4D quantum black hole physics from 2D models?
• Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
• The Dimensional-Reduction Anomaly in Spherically Symmetric Spacetimes

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