28 citations · 109 across the 12 of their papers we have counts for
12 papers
Unfree gauge symmetry
V. A. Abakumova, S. L. Lyakhovich
The gauge symmetry is said unfree if the gauge transformation leaves the action functional unchanged provided for the gauge parameters are constrained by the system of partial diff…
Dualisation of free fields
V. A. Abakumova, S. L. Lyakhovich
We consider the general free field theory such that system of equations of motion includes a subsystem with a special property. If the subsystem is considered by itself, it would b…
Global conserved quantities and unfree gauge symmetry
V. A. Abakumova, S. L. Lyakhovich
We consider a class of theories with unfree gauge symmetry, whose gauge parameters are restricted by differential equations. We demonstrate that such theories admit global conserve…
Gauge symmetry of linearised Nordström gravity and the dual spin two field theory
V. A. Abakumova, Daniel Frolovsky, Hans-Christian Herbig +1
The field equations are proposed for the third rank tensor field with the hook Young diagram. The equations describe the irreducible spin two massless representation in any $d\geq…
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…
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…
Multi-Hamiltonian formulations and stability of higher-derivative extensions of Chern-Simons
V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich
Most general third-order linear gauge vector field theory is considered. The field equations involve, besides the mass, two dimensionless constant parameters. The theory admit…