Hamiltonian Embedding of SU(2) Higgs Model in the Unitary Gauge

TL;DR

This paper systematically embeds the SU(2) Higgs model in the unitary gauge into a gauge-invariant framework using the Batalin-Fradkin-Tyutin method, providing a Hamiltonian embedding and interpretation.

Contribution

It introduces a Hamiltonian embedding of the SU(2) Higgs model in the unitary gauge using BFT, with a clear interpretation of the resulting gauge-invariant theory.

Findings

Hamiltonian and constraints expressed as infinite series in auxiliary fields

Comparison with gauged second class Lagrangian yields interpretative insights

Provides a systematic gauge-invariant embedding of the SU(2) Higgs model

Abstract

Following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin (BFT), we embed the second-class non-abelian SU(2) Higgs model in the unitary gauge into a gauge invariant theory. The strongly involutive Hamiltonian and constraints are obtained as an infinite power series in the auxiliary fields. Furthermore, comparing these results with those obtained from the gauged second class Lagrangian, we arrive at a simple interpretation for the first class Hamiltonian, constraints and observables.