# On the Bose symmetry and the left- and right-chiral anomalies

## TL;DR

This paper demonstrates a method to preserve Bose symmetry in chiral current calculations independently of the chiral anomaly using Implicit Regularization, challenging the conventional need for counterterms.

## Contribution

It introduces a novel approach to compute chiral current anomalies that maintains Bose symmetry without requiring counterterms, using Implicit Regularization.

## Key findings

- Bose symmetry can be preserved independently of chiral anomaly.
- A new calculation method avoids the need for counterterms.
- Implications for consistent anomaly treatment in quantum field theory.

## Abstract

It is generally assumed that in order to preserve Bose symmetry in the left- (or right-chiral) current it is necessary to equally distribute the chiral anomaly between the vectorial and the axial Ward identities, requiring the use of counterterms to restore consistency. In this work, we show how to calculate the quantum breaking of the left- and right-chiral currents in a way that allows to preserve Bose symmetry independently of the chiral anomaly, using the Implicit Regularization method.