The multiplicative anomaly for determinants revisited; locality

Details The multiplicative anomaly for determinants revisited; locality The multiplicative anomaly for determinants revisited; locality

2007-01-31

arxiv.org/abs/math-ph/0701076v3

Physics

Mathematical Physics

Scientific paper

Observing that the logarithm of a product of two elliptic operators differs from the sum of the logarithms by a finite sum of operator brackets, we infer that regularised traces of this difference are local as finite sums of noncommutative residues. From an explicit local formula for such regularised traces, we derive an explicit local formula for the multiplicative anomaly of zeta-determinants which sheds light on its locality and yields back previously known results.

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