97 citations · 1.3k across the 85 of their papers we have counts for
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On the world sheet of continuous helicity particle
D. S. Kaparulin, S. L. Lyakhovich, I. A. Retuntsev
We consider the class of spinning particle theories, whose quantization corresponds to the continuous helicity representation of the Poincare group. The classical trajectories of t…
Reducible gauge symmetry versus unfree gauge symmetry in Hamiltonian formalism
V. A. Abakumova, I. Yu. Karataeva, S. L. Lyakhovich
The unfree gauge symmetry implies that gauge variation of the action functional vanishes provided for the gauge parameters are restricted by the differential equations. The unfree…
Reducible Stueckelberg symmetry and dualities
V. A. Abakumova, S. L. Lyakhovich
We propose a general procedure for iterative inclusion of Stueckelberg fields to convert the theory into gauge system being equivalent to the original one. In so doing, we admit re…
Extended Chern-Simons model for a vector multiplet
D. S. Kaparulin, S. L. Lyakhovich, O. D. Nosyrev
We consider a gauge theory of vector fields in Minkowski space. At the free level, the dynamical variables are subjected to the extended Chern-Simons (ECS) equations with high…
Hamiltonian BFV-BRST Quantization for the Systems with Unfree Gauge Symmetry
V. A. Abakumova, S. L. Lyakhovich
The BFV-BRST Hamiltonian quantization method is presented for the theories where the gauge parameters are restricted by differential equations. The general formalism is exemplified…
General method for including Stueckelberg fields
S. L. Lyakhovich
A systematic procedure is proposed for inclusion of Stueckelberg fields. The procedure begins with the involutive closure when the original Lagrangian equations are complemented by…