# The Spatial Dynamics in Kazakov--Migdal Model

Source: [The Spatial Dynamics in Kazakov--Migdal Model](<https://www.sota2.com/research/paper/68fa241f2c2a37601939f95f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T07:58:42.817Z

Authors: K.Zarembo

Published: 1993-01-11T15:59:48.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9301032>)

[PDF](<https://arxiv.org/pdf/hep-th/9301032.pdf>)