Non Abelian Fields in Very Special Relativity

Understand

We study non-Abelian fields in the context of very special relativity (VSR).

• For this we define the covariant derivative and the gauge field gauge transformations, both of them involving a fixed null vector $n_{\mu}$, related to the VSR breaking of the Lorentz group to the Hom(2) or Sim(2) subgroups.
• As in the Abelian case the gauge field becomes massive.
• Moreover we show that the VSR gauge transformations form a closed algebra.