130 citations · 896 across the 43 of their papers we have counts for
7 papers · 1 filter
q-oscillators, (non-)Kaehler manifolds and constrained dynamics
Sergei V. Shabanov
It is shown that q-deformed quantum mechanics (systems with q-deformed Heisenberg commutation relations) can be interpreted as an ordinary quantum mechanics on Kaehler manifolds, o…
The Monopole Dominance in QCD
Sergei V. Shabanov
A projection (gauge) independent formulation of the monopole dominance, discovered in lattice QCD for the maximal abelian projection, is given. A new dynamical abelian projection o…
Dynamical Abelian Projection of Gluodynamics
Sergei V. Shabanov
Assuming the monopole dominance, that has been proved in the lattice gluodynamics, to hold in the continuum limit, we develop an effective scalar field theory for QCD at large dist…
Abelian projection and studies of gauge-variant quantities in lattice QCD without gauge fixing
Sergei V. Shabanov
We suggest a new (dynamical) Abelian projection of the lattice QCD. It contains no gauge condition imposed on gauge fields so that Gribov copying is avoided. Configurations of gaug…
Path Integral in Holomorphic Representation without Gauge Fixation
Sergei V. Shabanov
A method of path integral construction without gauge fixing in the holomorphic representation is proposed for finite-dimensional gauge models. This path integral determines a manif…
Coordinate-free quantization of first-class constrained systems
John R. Klauder, Sergei V. Shabanov
The coordinate-free formulation of canonical quantization, achieved by a flat-space Brownian motion regularization of phase-space path integrals, is extended to a special class of…
Supersymmetric quantization of Yang-Mills theory and possible applications
F. G. Scholtz, S. V. Shabanov
We develop a new operator quantization scheme for gauge theories where no gauge fixing for gauge fields is needed. The scheme allows one to avoid the Gribov problem and construct a…