Dynamics of a Dirac Fermion in the presence of spin noncommutativity

Understand

Recently, it has been proposed a spacetime noncommutativity that involves spin degrees of freedom, here called "spin noncommutativity".

• One of the motivations for such a construction is that it preserves Lorentz invariance, which is deformed or simply broken in other approaches to spacetime noncommutativity.
• In this work, we gain further insight in the physical aspects of the spin noncommutativity.
• The noncommutative Dirac equation is derived from an action principle, and it is found to lead to the conservation of a modified current, which involves the background electromagnetic field.