Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Int. Journal of Modern Physics A, vol. 18 (2003), 2179-2188

Scientific paper

10.1142/S0217751X03015635

The global multiplicative properties of Laplace type operators acting on
irreducible rank one symmetric spaces are considered. The explicit form of the
multiplicative anomaly is derived and its corresponding value is calculated
exactly, for important classes of locally symmetric spaces and different
dimensions.

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