Self-interaction mechanism in Hagen's massive vector model

TL;DR

This paper demonstrates how Hagen's non-abelian massive vector model can be derived via the self-interaction mechanism and explores its relation to other topologically massive models, highlighting differences from abelian cases.

Contribution

It introduces a derivation of Hagen's non-abelian vector model using the self-interaction mechanism and analyzes its equivalence to non-abelian topologically massive models.

Findings

Hagen's model can be obtained through self-interaction.

The model is equivalent to non-abelian topologically massive models.

The equivalence does not hold for abelian models.

Abstract

It is shown that the non-abelian vectorial model, proposed by C.R.Hagen is obtained using the self-interaction mechanism. The equivalence between this model and the non-abelian topologically massive one is studied showing that the existing equivalence between the abelian models is not sustained.