On the Mean Field Equations of Motion in the Theories with Unstable Vacuum

1988 ◽  
Vol 36 (2) ◽  
pp. 97-105 ◽  
Author(s):  
I. L. Buchbinder ◽  
E. S. Fradkin
Keyword(s):  
Equations Of Motion ◽  
Mean Field ◽  
Field Equations ◽  
Mean Field Equations ◽  
The Mean

scholarly journals INFINITE-TENSION STRINGS AT d>1

1993 ◽  
Vol 08 (06) ◽  
pp. 557-572 ◽  
Author(s):  
D.V. BOULATOV
Keyword(s):  
Matrix Model ◽  
Continuum Limit ◽  
Mean Field ◽  
Bethe Lattice ◽  
Point Of View ◽  
Simple Application ◽  
Field Equations ◽  
Mean Field Equations ◽  
The Mean ◽  
The One

A matrix model describing surfaces embedded in a Bethe lattice is considered. From the mean field point of view, it is equivalent to the Kazakov-Migdal induced gauge theory and therefore, at N=∞ and d>1, the latter can be interpreted as a matrix model for infinite-tension strings. We show that, in the naive continuum limit, it is governed by the one-matrix model saddle point with an upside-down potential. To derive mean field equations, we consider the one-matrix model in external field. As a simple application, its explicit solution in the case of the inverted W potential is given.

scholarly journals Some Predictions from the Mean Field Equations of Magnetoconvection

1980 ◽  
Vol 33 (1) ◽  
pp. 47 ◽  
Author(s):  
N Riahi
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Field Equations ◽  
Layer Method ◽  
Mean Field Equations ◽  
Boundary Layer Method ◽  
The Mean ◽  
Chandrasekhar Number ◽  
Large Rayleigh Number

Nonlinear magnetic convection is investigated by the mean field approximation. The boundary layer method is used assuming large Rayleigh number R for different ranges of the Chandrasekhar number Q. The heat flux F is determined for wavenumbers CXn which optimize F. It is shown that there are a finite number of modes in the ranges Q ~ R2/3 and R2/3 ~ Q ~ R, and that the number of modes increases with increasing Q in the former range and decreases with increasing Q in the latter range. For Q = 0(R2/3) there are infinitely many modes, and F is proportional to Rl/3 While the optimal F is independent of Q for Q ~ Rl/2, it is found to decrease with increasing Q in the range Rl/2 ~ Q ~ R and eventually to become of 0(1) as Q -> OCR), and the layer becomes stable.

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