Generalized BFT Formalism of Electroweak Theory in the Unitary Gauge

TL;DR

This paper develops a gauge-invariant formulation of the electroweak theory in the unitary gauge using the generalized BFT formalism, providing a new method to derive first-class Lagrangians from second-class systems.

Contribution

It introduces a systematic embedding of the Higgs model into a gauge-invariant framework and proposes a novel approach to obtain first-class Lagrangians directly from second-class ones.

Findings

Successfully embeds the Higgs model into a gauge-invariant theory.

Provides a new method to derive first-class Lagrangians from second-class systems.

Enhances understanding of gauge invariance in electroweak theory.

Abstract

We systematically embed the SU(2)$\times$U(1) Higgs model in the unitary gauge into a fully gauge-invariant theory by following the generalized BFT formalism. We also suggest a novel path to get a first-class Lagrangian directly from the original second-class one using the BFT fields.