97 citations · 447 across the 31 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…
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…
A stable higher-derivative theory with the Yang-Mills gauge symmetry
D. S. Kaparulin
An example of higher-derivative theory with a non-Abelian gauge symmetry is proposed. In the free limit, the model describes the multiplet of vector fields, being subjected to the…
On the world sheet of anyon in the external electromagnetic field
D. S. Kaparulin, I. A. Retuncev
We study the issue of description of spinning particle dynamics by means of recently proposed world sheet concept. A model of irreducible spinning particle in the Minkowski sp…
Resonance and stability of higher derivative theories of derived type
D. S. Kaparulin, S. L. Lyakhovich, O. D. Nosyrev
We consider the class of higher derivative field equations whose wave operator is a square of another self-adjoint operator of lower order. At the free level, the models of this cl…
Stable interactions between higher derivative extended Chern-Simons and charged scalar field
V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich
We consider inclusion of interactions between the higher derivative extended Chern-Simons and charged scalar field. We demonstrate that the order extended Chern-Simons and orde…
Unfree gauge symmetry in the BV formalism
D. S. Kaparulin, S. L. Lyakhovich
The BV formalism is proposed for the theories where the gauge symmetry parameters are unfree, being constrained by differential equations.
Conservation Laws and Stability of Field Theories of Derived Type
Dmitry S. Kaparulin
We consider the issue of correspondence between symmetries and conserved quantities in the class of linear relativistic higher-derivative theories of derived type. In this class of…
Geometrical model of massive spinning particle in four-dimensional Minkowski space
D. S. Kaparulin, S. L. Lyakhovich, I. A. Retuntsev
We propose the model of massive spinning particle traveling in four-dimensional Minkowski space. The equations of motion of the particle follow from the fact that all the classical…
Variational principle for cylindrical curves and dynamics of spinning particles in Minkowski space
D. S. Kaparulin, S. L. Lyakhovich, I. A. Retuntsev
We proceed from the fact that the classical paths of irreducible massive spinning particle lie on a circular cylinder with the time-like axis in Minkowski space. Assuming that all…
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…
A note on unfree gauge symmetry
D. S. Kaparulin, S. L. Lyakhovich
We study the general structure of field theories with the unfree gauge symmetry where the gauge parameters are restricted by differential equations. The examples of unfree gauge sy…
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…
Third order extensions of Chern-Simons interacting to gravity: Hamiltonian formalism and stability
D. S. Kaparulin, I. Yu. Karataeva, S. L. Lyakhovich
We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector…
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…
World sheets of spinning particles
D. S. Kaparulin, S. L. Lyakhovich
The classical spinning particles are considered such that quantization of classical model leads to an irreducible massive representation of the Poincaré group. The class of gauge e…
Higher derivative extensions of Chern-Simons models: conservation laws and stability
D. S. Kaparulin, I. Yu. Karataeva, S. L. Lyakhovich
We consider the class of higher derivative vector field models with the field equation operator being a polynomial of the Chern-Simons operator. For -th order theory of thi…
Stable interactions via proper deformations
D. S. Kaparulin, S. L. Lyakhovich, A. A. Sharapov
A new method is proposed for switching on interactions that are compatible with global symmetries and conservation laws of the original free theory. The method is applied to the co…
Energy and stability of Pais-Uhlenbeck oscillator
D. S. Kaparulin, S. L. Lyakhovich
We study stability of higher-derivative dynamics from the viewpoint of more general correspondence between symmetries and conservation laws established by the Lagrange anchor. We s…
Classical and quantum stability of higher-derivative dynamics
D. S. Kaparulin, S. L. Lyakhovich, A. A. Sharapov
We observe that a wide class of higher-derivative systems admits a bounded integral of motion that ensures the classical stability of dynamics, while the canonical energy is unboun…
Consistent interactions and involution
D. S. Kaparulin, S. L. Lyakhovich, A. A. Sharapov
Starting from the concept of involution of field equations, a universal method is proposed for constructing consistent interactions between the fields. The method equally well appl…
Lagrange Anchor and Characteristic Symmetries of Free Massless Fields
Dmitry S. Kaparulin, Simon L. Lyakhovich, Alexey A. Sharapov
A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin in four-dime…
Local BRST cohomology in (non-)Lagrangian field theory
D. S. Kaparulin, S. L. Lyakhovich, A. A. Sharapov
Some general theorems are established on the local BRST cohomology for not necessarily Lagrangian gauge theories. Particular attention is given to the BRST groups with direct physi…