Induced QCD Without Local Confinement

TL;DR

This paper explores properties of Wilson loop observables in a modified Kazakov-Migdal model, revealing two large N limits and discussing the resulting string theory, without local confinement.

Contribution

It introduces a modification of the Kazakov-Migdal model with explicit Z_N symmetry breaking and analyzes two large N limits, connecting to Wilson lattice gauge theory and string theory.

Findings

Two large N limits identified: one leads to Wilson lattice gauge theory, the other to a Kazakov-Migdal variant.

Wilson loop observables have a natural interpretation in the modified model.

Discussion of the properties of the emergent string theory.

Abstract

We examine some properties of the filled Wilson loop observables in the Kazakov-Migdal model of induced QCD. We show that they have a natural interpretation in a modification of the original model in which the $Z_N$ gauge symmetry is broken explicitly by a Wilson kinetic term for the gauge fields. We argue that there are two large N limits of this theory, one leads to ordinary Wilson lattice gauge theory coupled to a dynamical scalar field and the other leads to a version of the Kazakov-Migdal model in which the large N solution found by Migdal can still be used. We discuss the properties of the string theory which emerges.