There is no new physics in the multiplicative anomaly

Abstract

We discuss the role of the multiplicative anomaly for a complex scalar field at finite temperature and density. It is argued that physical considerations must be applied to determine which of the many possible expressions for the effective action obtained by the functional integral method is correct. This is done by first studying the non-relativistic field where the thermodynamic potential is well-known. The relativistic case is also considered. We emphasize that the role of the multiplicative anomaly is not to lead to new physics, but rather to preserve the equality among the various expressions for the effective action.

24 pages, RevTex, no figures

References in corpus (2)

• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• One-loop Effective Potential for a Fixed Charged Self-interacting Bosonic Model at Finite Temperature with its Related Multiplicative Anomaly

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• Form factors and non-local Multiplicative Anomaly for fermions with background torsion