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An interpretation of noncommutative field theory in terms of a quantum shift
Authors:M. Chaichian  K. Nishijima  A. Tureanu
Affiliation:1. High Energy Physics Division, Department of Physical Sciences, University of Helsinki, and Helsinki Institute of Physics, PO Box 64, FIN-00014 Helsinki, Finland;2. Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
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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