Chemical potential and multiplicative anomaly

TL;DR

This paper investigates the relativistic complex scalar field at finite temperature with conserved charge, focusing on the multiplicative anomaly, a previously overlooked quantity, and explores its potential significance and applications.

Contribution

It introduces the concept of the multiplicative anomaly in this context and computes its value, highlighting its possible impact on the understanding of the system.

Findings

The multiplicative anomaly can influence the thermodynamic properties of the scalar field.

The anomaly's role may extend to other quantum field systems with conserved charges.

Potential applications in related physical theories are discussed.

Abstract

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.