Poisson electrodynamics
Colóquio do DFMA com Prof. Vladislav Kupriyanov (UFABC).
Em 24/09, 5ª feira, às 14h. No Ed. Principal, sala Jayme Tiomno.
Resumo: Gauge theories on noncommutative spaces with a position-dependent noncommutativity tensor $\Theta^{ab}(x)$ present a fundamental difficulty: ordinary derivatives do not satisfy the Leibniz rule with respect to the corresponding Poisson bracket. Consequently, the standard construction of gauge transformations, field strengths, and gauge-invariant actions must be deformed. In this talk, I will describe a geometric construction of Poisson electrodynamics, a semiclassical approximation to noncommutative gauge theory that is first order in $\hbar$ but exact to all orders in $\Theta$. Using symplectic realizations and groupoids, we construct infinitesimal and finite gauge transformations, covariant field strengths, gauge-invariant actions, and Maxwell–Poisson equations. I will also describe the consistent coupling to charged particles and show how curved momentum space can lead to a maximal kinetic energy and confinement even in a repulsive Coulomb potential.
Data do Evento:
24/09/2026 - 14:00
Data de Término:
24/09/2026 - 15:00
