An Interpretation of Noncommutative Field Theory in Terms of a Quantum   Shift
  Noncommutative coordinates are decomposed into a sum of geometrical ones and a universal quantum shift operator. With the help of this operator, the mapping of a commutative field theory into a noncommutative field theory (NCFT) is introduced. A general measure for the Lorentz-invariance violation in NCFT is also derived. 
M. Chaichian, K. Nishijima, A. Tureanu