Is the multiplicative anomaly relevant ?

Abstract

In a recent work, S. Dowker has shed doubt on a recipe used in computing the partition function for a matrix valued operator. This recipe, advocated by Benson, Bernstein and Dodelson, leads naturally to the so called multiplicative anomaly for the zeta-function regularized functional determinants. In this letter we present arguments in favour of the mentioned prescription, showing that it is the valid one in calculations involving the relativistic charged bosonic ideal gas in the framework of functional analysis.

6 pages, LaTex

References in corpus (4)

• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• Regularization schemes and the multiplicative anomaly
• On the relevance of the multiplicative anomaly
• Is the multiplicative anomaly dependent on the regularization ?

Cited by in corpus (5)

• Applications in physics of the multiplicative anomaly formula involving some basic differential operators
• 2D Quantum Gravity at One Loop with Liouville and Mabuchi Actions
• Multiplicative anomaly and finite charge density
• Trace extensions, determinant bundles, and gauge group cocycles
• New physics in the charged relativistic Bose gas using zeta-function regularization?