Autor(es)

Kupriyanov, Vladislav G. ; Sharapov, Alexey A. ; Szabo, Richard J.

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 3, p. 35-pg., 2024-03-07.

Resumo

We develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative U(1) gauge theory. Our framework is based on an integrating symplectic groupoid for the underlying Poisson brackets, which we interpret as the classical phase space of a point particle on noncommutative spacetime. In this picture gauge fields arise as bisections of the symplectic groupoid while gauge transformations are parameterized by Lagrangian bisections. 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, demonstrating the appearances of curved and even compact momentum spaces, the interplay between gauge transformations and spacetime diffeomorphisms, as well as emergent gravity phenomena. (AU)

• Processo FAPESP: 21/09313-8 - Álgebras de homotopia, imersões simpléticas e Teoria de Gauge não comutativa
• Beneficiário: Vladislav Kupriyanov
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 22/13596-8 - As Álgebras de Homotopía nas Teorias de Gauge Não Comutativas e Gravitação de Spins Altos
• Beneficiário: Vladislav Kupriyanov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional