Chemical potential and multiplicative anomaly

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The relativistic complex scalar field at finite temperature and in presence of a net conserved charge is studied in reference to recent developments on the multiplicative anomaly. This quantity, overlooked until now, is computed and it is shown how it could play a role for this system. Other possible applications are also mentioned.
4 pages, LaTeX, to appear in Proceedings of the 5th International Workshop on Thermal Field Theories and Their Applications, August 1998, Regensburg, Germany

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