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

M. Chaichian, K. Nishijima, A. Tureanu

hep-tharXiv:hep-th/0511094

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.

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