26 citations · 103 across the 21 of their papers we have counts for
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On application of involutivity analysis of differential equations to constrained dynamical systems
Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov
A brief sketch of computer methods of involutivity analysis of differential equations is presented in context of its application to study degenerate Lagrangian systems. We exemplif…
Light-cone SU(2) Yang-Mills theory and conformal mechanics
V. P. Gerdt, A. M. Khvedelidze, D. M. Mladenov
We examine the mechanical matrix model that can be derived from the SU(2) Yang-Mills light-cone field theory by restricting the gauge fields to depend on the light-cone time alone.…
Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics
V. P. Gerdt, A. M. Khvedelidze, D. M. Mladenov
We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the supposition of gauge potential dependence only o…
Unconstrained SU(2) Yang-Mills Theory with Topological Term in the Long-Wavelength Approximation
A. M. Khvedelidze, D. M. Mladenov, H. -P. Pavel +1
The Hamiltonian reduction of SU(2) Yang-Mills theory for an arbitrary θangle to an unconstrained nonlocal theory of a self-interacting positive definite symmetric 3 \times 3 matrix…
On Unconstrained SU(2) Gluodynamics with Theta Angle
A. M. Khvedelidze, D. M. Mladenov, H. -P. Pavel +1
The Hamiltonian reduction of classical SU(2) Yang-Mills field theory to the equivalent unconstrained theory of gauge invariant local dynamical variables is generalized to the case…
Euler-Calogero-Moser system from SU(2) Yang-Mills theory
A. M. Khvedelidze, D. M. Mladenov
The relation between SU(2) Yang-Mills mechanics, originated from the 4-dimensional SU(2) Yang-Mills theory under the supposition of spatial homogeneity of the gauge fields, and the…