HEP Colloquia 2026

by Dr Vladislav Kupriyanov (ABC Federal University, Brasile)

Wednesday Jun 17, 2026, 2:30 PM → 3:30 PM Europe/Rome

Sala Consiliare (Department of Physics)

Poisson gauge theory

Poisson gauge theory, also known as Poisson electrodynamics, is the semi-classical limit of noncommutative U(1) gauge theory. In this approximation, the noncommutativity of space-time coordinates is described by a Poisson bracket. In this talk I will describe the construction of Poisson gauge algebra using techniques based on symplectic realization of Poisson structures. We also construct the gauge covariant Poisson field strength and gauge invariant action, from which we derive Maxwell-Poisson equations. We provide a geometric construction of a gauge invariant action functional which minimally couples a dynamical charged particle to a background electromagnetic field. Our constructions are elucidated by several explicit examples, like Lie-algebra type noncommutativity.