16 citations · 19 across the 3 of their papers we have counts for
6 papers · 1 filter
Symmetries in Constrained Systems
D. M. Gitman, I. V. Tyutin
We describe symmetry structure of a general singular theory (theory with constraints in the Hamiltonian formulation), and, in particular, we relate the structure of gauge transform…
Discrete symmetries as automorphisms of the proper Poincare group
I. L. Buchbinder, D. M. Gitman, A. L. Shelepin
We present the consistent approach to finding the discrete transformations in the representation spaces of the proper Poincaré group. To this end we use the possibility to establis…
Fields on the Poincare group: arbitrary spin description and relativistic wave equations
D. M. Gitman, A. L. Shelepin
In this paper, starting from pure group-theoretical point of view, we develop a regular approach to describing particles with different spins in the framework of a theory of scalar…
Covariant Quantization with Extended BRST Symmetry
B. Geyer, D. M. Gitman, P. M. Lavrov
A short rewiev of covariant quantization methods based on BRST-antiBRST symmetry is given. In particular problems of correct definition of Sp(2) symmetric quantization scheme known…
Massless Wess-Zumino model as first quantized Siegel superparticle
A. A. Deriglazov, A. V. Galajinsky, D. M. Gitman
It is shown that canonical quantization of the Siegel superparticle yields massless Wess-Zumino model as an effective field theory. Quantum states of the superparticle are rea…
Pseudoclassical supersymmetrical model for 2+1 Dirac particle
D. M. Gitman, A. E. Gonçalves, I. V. Tyutin
A new pseudoclassical supersymmetrical model of a spinning particle in 2+1 dimensions is proposed. Different ways of its quantization are discussed. They all reproduce the minimal…