paper

An Interpretation of Noncommutative Field Theory in Terms of a Quantum Shift

arXiv:hep-th/0511094 · doi:10.1016/j.physletb.2005.11.051

Abstract

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.

16 pages