13 citations · 29 across the 3 of their papers we have counts for
6 papers
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…
Hamiltonian constraints and unfree gauge symmetry
V. A. Abakumova, S. L. Lyakhovich
We study Hamiltonian form of unfree gauge symmetry where the gauge parameters have to obey differential equations. We consider the general case such that the Dirac-Bergmann algorit…
Unfree gauge symmetry in the Hamiltonian formalism
V. A. Abakumova, I. Yu. Karataeva, S. L. Lyakhovich
The constrained Hamiltonian formalism is worked out for the theories where the gauge symmetry parameters are unfree, being restricted by differential equations. The Hamiltonian BFV…
Conservation laws and stability of higher derivative extended Chern-Simons
V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich
The higher derivative field theories are notorious for the stability problems both at classical and quantum level. Classical instability is connected with unboundedness of the cano…
Stable interactions between the extended Chern-Simons theory and a charged scalar field with higher derivatives: Hamiltonian formalism
V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich
We consider constrained multi-Hamiltonian formulation for the extended Chern-Simons theory with higher derivatives of arbitrary finite order. The order extension of the theory…
Stable interactions in higher derivative field theories of derived type
V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich
We consider the general higher derivative field theories of derived type. At free level, the wave operator of derived-type theory is a polynomial of the order of another…