Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons: investigation of the U(1)_A anomaly term

TL;DR

This paper investigates various formulations of the axial anomaly term within a three-flavor linear sigma model with (axial-)vector mesons, finding all formulations phenomenologically equivalent based on a chi-squared analysis.

Contribution

It compares different realizations of the axial anomaly term in a meson model and demonstrates their phenomenological equivalence.

Findings

No significant difference among anomaly term realizations.

All formulations can be used interchangeably in phenomenological applications.

The chi^2 minimization supports the equivalence of different anomaly models.

Abstract

Zero temperature properties of an (axial-) vector meson extended linear sigma model are discussed, concerning on the possible different realizations of the axial anomaly term. The different anomaly terms are compared with each other on the basis of a chi^2 minimalization process. It is found that there is no essential difference among the different realizations. This means that any of them can be equally used from phenomenological point of view.