Classical electrodynamics in a space with spin noncommutativity of coordinates

Understand

We propose a new relativistic Lorentz-invariant spin-noncommutative algebra.

• Using the Weyl ordering of noncommutative position operators, we build an analogue of the Moyal-Groenewald product for the proposed algebra.
• The Lagrange function of an electromagnetic field in the space with spin noncommutativity is constructed.
• In such a space electromagnetic field becomes non-abelian.