The Spatial Dynamics in Kazakov--Migdal Model

Abstract

The spatially inhomogeneous large $N$ solutions to Kazakov--Migdal model are analyzed. The set of nonlinear differential equations is derived in the continuum limit. In one dimensional case these equations has a natural interpretation in terms of the dynamics of a Fermi gas. The multidimensional case seems to be inconsistent because of its instability related to the collapse of eigenvalues of the scalar field.

7 pages in LaTeX, preprint SMI-06-92

References in corpus (11)

• Induced QCD at Large N
• Exact Solution of Induced Lattice Gauge Theory at Large $N$
• Induced QCD and Hidden Local ZN Symmetry
• Some Remarks About Induced QCD
• 1/N Expansion and Particle Spectrum in Induced QCD
• The Problem of Large-N Phase Transition in Kazakov-Migdal Model of Induced QCD
• Some Remarks About the Two-Matrix Penner Model and the Kazakov-Migdal Model
• Infinite Tension Strings at D>1
• Correlators of the Kazakov-Migdal Model
• Mixed Model of Induced QCD
• The Spectrum of the Kazakov Migdal-Model