4 papers
Poisson Gauge Theories in Three Dimensions: Exact Solutions and Conservation Laws
Alexey Sharapov, David Shcherbatov
We investigate Maxwell-Chern-Simons theory on a three-dimensional noncommutative spacetime endowed with a constant spacelike Poisson structure. By exploiting the residual rotationa…
Quantization of bounded symplectic domains associated with compact Lie groups
Alexey A. Sharapov
We present a systematic quantization scheme for bounded symplectic domains of the form , where is a bounded region define…
A note on quantum Hamiltonian reduction and anomalies
Boris M. Elfimov, Alexey A. Sharapov
Quantization of field-theoretic models with gauge symmetries is often obstructed by quantum anomalies. It is commonly believed that the origin of these anomalies lies in the infini…
On Poisson Electrodynamics With Charged Fields
Alexey A. Sharapov
Poisson electrodynamics is the low-energy limit of a rank-one noncommutative gauge theory. It admits a closed formulation in terms of a Poisson structure on the space-time manifold…