A. M. Khvedelidze

Hamiltonian reduction of SU(2) Dirac-Yang-Mills mechanics

The SU(2) gauge invariant Dirac-Yang-Mills mechanics of spatially homogeneous isospinor and gauge fields is considered in the framework of the generalized Hamiltonian approach. The unconstrained Hamiltonian system equivalent to the model is obtained using the gaugeless method of Hamiltonian reduction. The latter includes the Abelianization of the first class constraints, putting the second class constraints into the canonical form and performing a canonical transformation to a set of adapted coordinates such that a subset of the new canonical pairs coincides with the second class constraints and part of the new momenta is equal to the Abelian constraints. In the adapted basis the pure gauge degrees of freedom automatically drop out from the consideration after projection of the model onto the constraint shell. Apart from the elimination of these ignorable degrees of freedom a further Hamiltonian reduction is achieved due to the three dimensional group of rigid symmetry possessed by the system.

Euler-Calogero-Moser system from SU(2) Yang-Mills theory

The relation between the Euler-Calogero-Moser model and

Unconstrained Hamiltonian formulation of SU ( 2 ) gluodynamics

mathrm{SU}(2)

Cosmological perturbations in a Friedmann-Robertson-Walker model with a scalar field and false vacuum decay

Yang-Mills mechanics, originating from the four-dimensional

The time surface term in quantum gravity

mathrm{SU}(2)

Generalized Calogero-Moser-Sutherland models from geodesic motion on GL+ (n, R) group manifold

Yang-Mills theory under the supposition of spatial homogeneity of the gauge fields, is discussed in the framework of Hamiltonian reduction. Two kinds of reduction of the degrees of freedom are considered: due to gauge invariance and due to discrete symmetry. In the former case, it is shown that after elimination of the gauge degrees of freedom from the

On the Groundstate of Yang-Mills Quantum Mechanics

mathrm{SU}(2)

Admissible gauges for constrained systems.

Yang-Mills mechanics the resulting unconstrained system represents the

Unconstrained SU(2) Yang-Mills Theory with Topological Term in the Long-Wavelength Approximation

{mathrm{ID}}_{3}

Generalized Hamiltonian dynamics of Friedmann cosmology with scalar and spinor matter source fields

Euler-Calogero-Moser model with a certain external fourth-order potential. In the latter, the