Classical dynamics of charged particles in Poisson gauge theory

• Grant number: 24/00920-7
• Support Opportunities: Scholarships in Brazil - Master
• Start date: September 01, 2024
• End date: July 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Vladislav Kupriyanov
• Grantee: Hermann Adrian Huaman Vargas
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

Poisson gauge theory is a recently proposed field-theoretical model which describes the semi-classical limit of non-commutative $U(1)$ gauge theory with non-constant non-commutativity parameter $\Theta^{ab}(x)$. In the previous works of the supervisor and collaborators it was formulated a method of the construction of classical particle action which is invariant under the Poisson gauge transformation. The aim of this project is to investigate the classical motion of charged particles interacting with a Poisson gauge field.