BFT Hamiltonian Embedding of Non-Abelian Self-Dual Model

TL;DR

This paper systematically embeds a non-abelian self-dual model into a gauge theory using the Batalin-Fradkin-Tyutin Hamiltonian approach, providing a clear interpretation of the gauge-invariant structure.

Contribution

It introduces a novel embedding of the non-abelian self-dual model into a gauge theory via an infinite series expansion, clarifying the gauge structure and observables.

Findings

Successful embedding of the model into a gauge theory.

Explicit form of the first-class Hamiltonian and constraints.

Interpretation of the gauge-invariant observables.

Abstract

Following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin, we embed the second-class non-abelian self-dual model of P. K. Townsend et al into a gauge theory. The strongly involutive Hamiltonian and constraints are obtained as an infinite power series in the auxiliary fields. By formally summing the series we obtain a simple interpretation for the first-class Hamiltonian, constraints and observables.