130 citations · 896 across the 43 of their papers we have counts for
5 papers · 1 filter
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…
The Inverse Variational Problem for Autoparallels
Christian Maulbetsch, Sergei V. Shabanov
We study the problem of the existence of a local quantum scalar field theory in a general affine metric space that in the semiclassical approximation would lead to the autoparallel…
Path Integral Quantization and Riemannian-Symplectic Manifolds
Sergei V. Shabanov, John R. Klauder
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under gener…
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…
Constrained Systems and Analytical Mechanics in Spases with Torsion
Sergei V. Shabanov
A system with anholonomic constraints where the trajectories of physical degrees of freedom are autoparallels on a manifold equipped with a general Cartan connection is discussed.…