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 (5)

• 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
• Complete determination of the singularity structure of zeta functions
• Bose-Einstein condensation for interacting scalar fields in curved spacetime
• Bose-Einstein condensation as symmetry breaking in compact curved spacetimes

Cited by in corpus (10)

• One-loop corrections to the photon propagator in the curved-space QED
• Zeta Function Methods and Quantum Fluctuations
• 2D Quantum Gravity at One Loop with Liouville and Mabuchi Actions
• Zeta function regularization in Casimir effect calculations and J.S. Dowker's contribution
• Functional Determinant of the Massive Laplace Operator and the Multiplicative Anomaly
• Universality and ambiguity in fermionic effective actions
• Exact formfactors in the one-loop curved-space QED and the nonlocal multiplicative anomaly
• Chemical potential and multiplicative anomaly
• Non-relativistic Limit of Thermodynamics of Bose Field in a Static Space-time and Bose-Einstein Condensation
• Form factors and non-local Multiplicative Anomaly for fermions with background torsion