There is no new physics in the multiplicative anomaly

Details There is no new physics in the multiplicative anomaly There is no new physics in the multiplicative anomaly

1998-05-27

arxiv.org/abs/hep-th/9805184v1

Phys.Rev. D58 (1998) 105001

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, RevTex, no figures

Scientific paper

10.1103/PhysRevD.58.105001

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.

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