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Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
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2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Dimensional reduction and confinement from five dimensions
Dimensional confinement dimensions
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2011/1/6
We study non-perturbatively five-dimensional SU(2) gauge theories by means of the mean-field expansion on the lattice. On the anisotropic torus we show that a continuum limit can be defined where the ...
Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows
Finite dimensional reduction incompressible Smectic-A liquid crystal flows
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2010/11/8
We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order equation for the la...
Dimensional reduction and confinement from five dimensions
Dimensional reduction confinement five dimensions
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2011/1/13
We study non-perturbatively five-dimensional SU(2) gauge theories by means of the mean-field
expansion on the lattice. On the anisotropic torus we show that a continuum limit can be defined where the...