New physics in the charged relativistic Bose gas using zeta-function regularization?

TL;DR

This paper investigates the physical implications of the multiplicative anomaly in zeta-function regularization within a charged relativistic Bose gas, highlighting persistent differences in physics that are not eliminated by renormalization.

Contribution

It provides a non-perturbative analysis of the multiplicative anomaly's physical relevance in quantum field theory, especially in the context of a charged relativistic Bose gas.

Findings

The multiplicative anomaly has significant physical implications.

Differences in physics due to the anomaly are not easily removed by renormalization.

The anomaly's role persists in non-perturbative approaches.

Abstract

The multiplicative anomaly, recently introduced in QFT, plays a fundamental role in solving some mathematical inconsistencies of the widely used zeta-function regularization method. Its physical relevance is still an open question and is here analyzed in the light of a non-perturbative method. Even in this approach the ``different physics'' seems to hold and not to be easily removable by renormalization.