Local symmetry in the Kazakov-Migdal gauge model

TL;DR

This paper investigates the local symmetry properties of the Kazakov-Migdal gauge model, showing that the model's observables follow a local-confinement rule and that its local continuous symmetry remains unbroken.

Contribution

It provides a theoretical analysis demonstrating the invariance of the local continuous symmetry in the Kazakov-Migdal model and clarifies the nature of its spectrum of observables.

Findings

Observables obey local-confinement selection rule

Local continuous symmetry cannot be spontaneously broken

Spectrum analysis supports confinement properties

Abstract

The spectrum of observables in the induced lattice gauge model proposed recently by V.A.Kazakov and A.A.Migdal obeys the local-confinement selection rule. The underlying local continuous symmetry cannot be spontaneously broken within the model.