97 citations · 120 across the 4 of their papers we have counts for
4 papers
Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems
Alexey A. Sharapov
Using the concept of variational tricomplex endowed with a presymplectic structure, we formulate the general notion of symmetry. We show that each generalized symmetry of a gauge s…
On covariant Poisson brackets in field theory
Alexey A. Sharapov
A general approach is proposed to constructing covariant Poisson brackets in the space of histories of a classical field-theoretical model. The approach is based on the concept of…
Peierls brackets in non-Lagrangian field theory
Alexey Sharapov
The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach. In this paper, I show that any…
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…