130 citations · 896 across the 43 of their papers we have counts for
16 papers · 1 filter
On a low energy bound in a class of chiral field theories with solitons
Sergei V. Shabanov
A low energy bound in a class of chiral solitonic field theories related the infrared physics of the SU(N) Yang-Mills theory is established.
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…
Geometry of the physical phase space in quantum gauge models
Sergei V. Shabanov
The physical phase space in gauge systems is studied. Effects caused by a non-Euclidean geometry of the physical phase space in quantum gauge models are described in the operator a…
Yang-Mills theory as an Abelian theory without gauge fixing
Sergei V. Shabanov
A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is…
An effective action for monopoles and knot solitons in Yang-Mills theory
Sergei V. Shabanov
By comparision with numerical results in the maximal Abelian projection of lattice Yang-Mills theory, it is argued that the nonperturbative dynamics of Yang Mills theory can be des…
Towards a Nonperturbative Path Integral in Gauge Theories
Sergei V. Shabanov, John R. Klauder
We propose a modification of the Faddeev-Popov procedure to construct a path integral representation for the transition amplitude and the partition function for gauge theories whos…
BRST Inner Product Spaces and the Gribov Obstruction
Norbert Duechting, Sergei V. Shabanov, Thomas Strobl
A global extension of the Batalin-Marnelius proposal for a BRST inner product to gauge theories with topologically nontrivial gauge orbits is discussed. It is shown that their (app…
Coordinate-Free Quantization of Second-Class Constraints
John R. Klauder, Sergei V. Shabanov
The conversion of second-class constraints into first-class constraints is used to extend the coordinate-free path integral quantization, achieved by a flat-space Brownian motion r…
Confinement in 3D Gluodynamics as a 2D Critical Phenomenon
A. Ferrando, A. Jaramillo, S. Shabanov +1
Gluodynamics in 3D spacetime with one spatial direction compactified into a circle of length is studied. The confinement order parameters, such as the Polyakov loops, are analy…
Gribov vs BRST
F G Scholtz, S V Shabanov
We investigate the way in which the Gribov problem is manifested in the BRST quantization of simple quantum mechanical models by comparing models with and without a Gribov problem.…
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…
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…
Supersymmetric quantization of gauge theories
Frederik G Schotlz, Sergei V. Shabanov
We develop a new operator quantization scheme for gauge theories in which the dynamics of the ghost sector is described by an N=2 supersymmetry. In this scheme no gauge condition i…
q-oscillators, (non-)Kaehler manifolds and constrained dynamics
Sergey V. Shabanov
It is shown that q-deformed quantum mechanics (q-deformed Heisenberg algebra) can be interpreted as quantum mechanics on Kaehler manifolds, or as a quantum theory with second (or f…