Noncommutative field theory and violation of translation invariance

O. Bertolami, L. Guisado

Noncommutative field theories with commutator of the coordinates of the form $[x^{\mu },x^{\nu }]=i{\Lambda }_{\omega }^{\mu \nu }{x}^{\omega }$ are studied. Explicit Lorentz invariance is mantained considering $\Lambda$…