5 papers
On an effective action of monopoles in Abelian projections of Yang-Mills theory
Sergei V. Shabanov
A path integral description of an effective action of monopoles in Abelian projections of Yang-Mills theories is discussed and used to establish a projection independence of the ef…
An Introduction to Coordinate-free Quantization and its Application to Constrained Systems
John R. Klauder, Sergei V. Shabanov
Canonical quantization entails using Cartesian coordinates, and Cartesian coordinates exist only in flat spaces. This situation can either be questioned or accepted. In this paper…
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…
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…
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…