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We examine the unitarity properties of spontaneously broken non-commutativegauge theories. We find that the symmetry breaking mechanism in thenon-commutative Standard Model of Chaichian et al. leads to an unavoidableviolation of tree-level unitarity in gauge boson scattering at high energies.We then study a variety of simplified spontaneously broken non-commutativetheories and isolate the source of this unitarity violation. Given the grouptheoretic restrictions endemic to non-commutative model building, we concludethat it is difficult to build a non-commutative Standard Model under theWeyl-Moyal approach that preserves unitarity.Comment: 31 page

Noncommutativity and unitarity violation in gauge boson scattering