Noncommutative kappa-Minkowski phi4 theory: Construction, properties and   propagation
  We have constructed noncommutative phi^4 field theory on kappa-Minkowski spacetime. Quantum properties via 2-point functions were analized, and effect of birefringence for the massive scalar field has been found. 
S. Meljanac, A. Samsarov, J. Trampetic and M. Wohlgenannt
hep-th math-ph math.MP