TL;DR
This paper investigates two quantum extensions of antisymmetric tensor gauge models in four dimensions, analyzing their properties, anomaly status, and interpretations, with one related to topological theories and the other to sigma models.
Contribution
It provides a perturbative analysis of two distinct quantum extensions of antisymmetric tensor gauge theories, highlighting their anomaly-free nature and different physical interpretations.
Findings
Both models are anomaly free.
One model relates to topological theories with dimension one gauge fields.
The other model interprets as a sigma model with dimension two gauge fields.
Abstract
We analyze to all perturbative orders the properties of two possible quantum extensions of classically on-shell equivalent antisymmetric tensor gauge models in four dimensions. The first case, related to the soft breaking of a topological theory wants a gauge field of canonical dimension one. The other possibility, which assigns canonical dimension two to the gauge field, leads to the model interpretation of the theory. In both instances we find that the models are anomaly free.
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