# Trace and axial anomalies on equal footing

## TL;DR

This paper introduces a unified approach to trace and axial anomalies in certain non-supersymmetric theories, enabling a consistent treatment of scalar and pseudoscalar components in effective models aligned with QCD.

## Contribution

It proposes a generalized symmetry framework that combines trace and axial transformations, allowing for a single current with scalar and pseudoscalar terms in low energy effective models.

## Key findings

- Unified treatment of trace and axial anomalies.
- Introduction of a complex glueball field with scalar and pseudoscalar parts.
- Consistency with meson structure and QCD requirements.

## Abstract

We discuss for some particular non supersymmetric theories a generalized symmetry that includes both the scale and axial transformations and leads to a single current that may contain also a pseudoscalar term. The method, inspired by the superconformal anomalies has important application for low energy effective models where it allows the introduction of a single complex glueball field with a scalar and a pseudoscalar component on the same footing with the complex meson nonets fields made of quarks. Both axial and trace and axial anomalies are satisfied in accordance to the meson structure and the QCD requirements.