Multiplicative anomaly and zeta factorization

Details Multiplicative anomaly and zeta factorization Multiplicative anomaly and zeta factorization

2004-02-23

arxiv.org/abs/hep-th/0402186v1

J.Math.Phys. 45 (2004) 1168-1179

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, AIP style

Scientific paper

10.1063/1.1646447

Some aspects of the multiplicative anomaly of zeta determinants are investigated. A rather simple approach is adopted and, in particular, the question of zeta function factorization, together with its possible relation with the multiplicative anomaly issue is discussed. We look primordially into the zeta functions instead of the determinants themselves, as was done in previous work. That provides a supplementary view, regarding the appearance of the multiplicative anomaly. Finally, we briefly discuss determinants of zeta functions that are not in the pseudodifferential operator framework.

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