Exact solution of d=1 Kazakov-Migdal induced gauge theory

Abstract

We give the exact solution of the Kazakov-Migdal induced gauge model in the case of a D=1 compactified lattice with a generic number $S$ of sites and for any value of N. Due to the peculiar features of the model, the partition function that we obtain also describes the vortex-free sector of the D=1 compactified bosonic string, and it coincides in the continuum limit with the one obtained by Boulatov and Kazakov in this context.

arXiv comment9 pages, Latex file DFTT 38/92 (revised version,with just a couple of references added)

References in corpus (5)

• Induced QCD at Large N
• One-Dimensional String Theory with Vortices as Upside-Down Matrix Oscillator
• Exact Solution of Induced Lattice Gauge Theory at Large $N$
• Induced QCD and Hidden Local ZN Symmetry
• The Weingarten Model a la Polyakov

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• The Kazakov-Migdal Model as a High Temperature Lattice Gauge Theory
• Continuum Limits of ``Induced QCD": Lessons of the Gaussian Model at d=1 and Beyond
• Phase Transitions in Induced QCD
• A Simple Model Inducing QCD
• A Study of the $N=2$ Kazakov-Migdal Model
• Difficulties in Inducing a Gauge Theory at Large N
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• From hermitian matrix model to lattice gauge theory
• Symmetry and Observables in Induced QCD
• Kazakov-Migdal Induced Gauge Theory and the Coupling of 2D Quantum Gravity to D=1 Matter