International Association for
Relativistic Dynamics

IARD 2020

The 12th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Real spinors and real Dirac equation

Vaclav Zatloukal

Czech Technical University in Prague


The real Clifford (or, geometric) algebra is a convenient tool to handle geometric objects, and study relations among them. In this talk I draw attention to spinors, both in space and in spacetime, and advocate the approach, in which they are regarded as elements of the even subalgebra of a real Clifford algebra.

With this formalism, I will reexamine the minimal coupling procedure in the Dirac equation, and argue that it leads naturally to a certain non-Abelian generalisation of the electromagnetic gauge potential.