Trace anomaly of the conformal gauge field

TL;DR

This paper applies a new calculation method to trace anomalies in conformal gauge fields, corrects previous errors, and discusses unexpected quantum effects from gauge symmetry introduction.

Contribution

It introduces a novel calculation approach for trace anomalies in conformal gauge fields and compares it with the heat equation method, correcting earlier inaccuracies.

Findings

Validated the new method against the heat equation approach.

Corrected previous calculation errors.

Highlighted quantum effects from gauge symmetry introduction.

Abstract

The proposed by Bastianelli and van Nieuwenhuizen new method of calculations of trace anomalies is applied in the conformal gauge field case. The result is then reproduced by the heat equation method. An error in previous calculation is corrected. It is pointed out that the introducing gauge symmetries into a given system by a field-enlarging transformation can result in unexpected quantum effects even for trivial configurations.