Axiomatic approach to classical field theory

The project is centered around the need for procedures in classical relativistic field theories. The idea is to determine the minimal amount of rules (postulates) such that a classical field theory can be uniquely determined. More specifically, determining a set of rules such that a unique set of models will follow from Noether’s theorem. The basis for the rules are models such as covariant electrodynamics. Example rules are properties of these models such as manifest gauge invariance, including explicit gauge invariance of the Lagrangian, Lorentz invariance, and the presence of a field strength tensor in the theory. The expected outcome is to further the current understanding in this area of the axiomatic approach to physics.

Faculty Supervisor:

Sergei Kuzmin

Student:

Partner:

Utrecht University (Mexico)

Discipline:

Mathematics

Sector:

Education; Aerospace; Other

University:

Western University

Program: