The Multiplicative Anomaly of Regularized Functional Determinants

Abstract

The multiplicative anomaly related to the functional regularized determinants involving products of elliptic operators is introduced and some of its properties discussed. Its relevance concerning the mathematical consistency is stressed. With regard to its possible physical relevance, some examples are illustrated.

4 pages, contribution to "Quantum Gravity and Spectral Geometry", Naples July 2001`

References in corpus (1)

• On the Dimensional Reduction Procedure

Cited by in corpus (2)

• 2D Quantum Gravity at One Loop with Liouville and Mabuchi Actions
• Symbol calculus and zeta--function regularized determinants