Duality and fields redefinition in three dimensions

TL;DR

This paper investigates the equivalence of different gauge field theories in three dimensions through local field redefinitions and duality, showing that various models share the same redefinition properties regardless of gauge fixing.

Contribution

It demonstrates that Maxwell-Chern-Simons, Self-Dual, and Maxwell-Proca models in three dimensions have identical field redefinitions and duality properties, unaffected by gauge-fixing terms.

Findings

Maxwell-Chern-Simons and Self-Dual models admit the same field redefinition.

Maxwell-Proca and its dual share the same redefinition property.

Gauge-fixing terms do not influence duality or field redefinitions.

Abstract

We analyze local fields redefinition and duality for gauge field theories in three dimensions. We find that both Maxwell-Chern-Simons and the Self-Dual models admits the same fields redefinition. Maxwell-Proca action and its dual also share this property. We show explicitly that a gauge-fixing term has no influence on duality and fields redefinition.