SPATIAL DYNAMICS IN THE KAZAKOV-MIGDAL MODEL

被引:2
|
作者
ZAREMBO, K
机构
[1] Steklov Mathematical Institute, 117966 Moscow, Vavilov st.42
关键词
D O I
10.1016/0370-2693(94)90470-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The spatially inhomogeneous large N solutions to the Kazakov-Migdal model are analyzed. A set of nonlinear differential equations is derived in the continuum limit. In the one dimensional case these equations have a natural interpretation in terms of the dynamics of a Fermi gas. In the multidimensional case we have found two possibilities to take the continuum limit. One of them leads to a one-component phi3 theory, while the other seems to be inconsistent because of its instability related to the collapse of eigenvalues of the matrix scalar field.
引用
收藏
页码:234 / 238
页数:5
相关论文
共 50 条
  • [31] Energy Distribution of Electrons in the Migdal Model of Atomic Ionization
    Men'shikov, L. I.
    Men'shikov, P. L.
    Faifman, M. P.
    PHYSICS OF ATOMIC NUCLEI, 2022, 85 (07) : 577 - 587
  • [32] Migdal's short range correlations in a covariant model
    Lutz, MFM
    PHYSICS LETTERS B, 2003, 552 (3-4) : 159 - 164
  • [33] Scaling Migdal model and a nonparametric equation of state for argon
    Rykov, S. V.
    Kudryavtseva, I. V.
    Rykov, V. A.
    Ustyuzhanin, E. E.
    XXXIII INTERNATIONAL CONFERENCE ON EQUATIONS OF STATE FOR MATTER, 2019, 1147
  • [34] Spatial Dynamics for a Generalized Solow Growth Model
    Zhong, Yue
    Huang, Wenyi
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [35] Spatial dynamics of an epidemic model with nonlocal infection
    Guo, Zun-Guang
    Sun, Gui-Quan
    Wang, Zhen
    Jin, Zhen
    Li, Li
    Li, Can
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 377
  • [36] A model for the spatial dynamics of linyphiid spiders in farmland
    Halley, J. M.
    Thomas, C. F. G.
    Jepson, P. C.
    Journal of Applied Ecology, 33 (03):
  • [37] Energy Distribution of Electrons in the Migdal Model of Atomic Ionization
    Men'shikov, L. I.
    Men'shikov, P. L.
    Faifman, M. P.
    PHYSICS OF ATOMIC NUCLEI, 2022, 85 (06) : 577 - 587
  • [38] Energy Distribution of Electrons in the Migdal Model of Atomic Ionization
    L. I. Men’shikov
    P. L. Men’shikov
    M. P. Faifman
    Physics of Atomic Nuclei, 2022, 85 (6) : 577 - 587
  • [39] Dynamics of Spatial Logistic Model: Finite Systems
    Kozitsky, Yuri
    SEMIGROUPS OF OPERATORS - THEORY AND APPLICATIONS, 2015, 113 : 197 - 211
  • [40] Equilibrium dynamics in a model of growth and spatial agglomeration
    Fujishima, Shota
    Oyama, Daisuke
    MACROECONOMIC DYNAMICS, 2023, 27 (01) : 224 - 249