Lorentz invariance of scalar field action on $κ$-Minkowski space-time

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We construct field theory on noncommutative $κ$-Minkowski space-time. Having the Lorentz action on the noncommutative space-time coordinates we show that the field lagrangian is invariant. We show that noncommutativity requires replacing the Leibnitz rule with the coproduct one.
11 pages

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