The Spatial Dynamics in Kazakov--Migdal Model

Details The Spatial Dynamics in Kazakov--Migdal Model The Spatial Dynamics in Kazakov--Migdal Model

1993-01-11

arxiv.org/abs/hep-th/9301032v1

Phys.Lett. B321 (1994) 234-238

Physics

High Energy Physics

High Energy Physics - Theory

7 pages in LaTeX, preprint SMI-06-92

Scientific paper

10.1016/0370-2693(94)90470-7

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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