Gauge embedding procedure: classical and quantum equivalence between dual models

TL;DR

This paper revisits the gauge embedding method to establish classical and quantum equivalence between dual vector field models, including massive and gauge-invariant extensions, with implications for all loop orders.

Contribution

It provides a detailed analysis of the gauge embedding procedure, demonstrating equivalence of models at tree-level, one-loop, and discussing extensions to all loops.

Findings

Models are equivalent at tree-level and one-loop

Derived relations between propagators and interaction terms

Discussed extension of equivalence to all loop orders

Abstract

In this paper the gauge embedding procedure of dualization is reassessed through a deeper analysis of the mutual equivalence of vector field models of more generic forms, explicitly, a general modified massive gauge-breaking extension of electrodynamics and its dual gauge-invariant model we derive in the paper. General relations between the vector field propagators and interaction terms of these models are obtained. Further, these models are shown to be equivalent at tree-level and one-loop physical calculations. Finally, we discuss extension of this equivalence to all loop orders.