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arXiv · hep-ph/0112003

Non-Commutativity and Unitarity Violation in Gauge Boson Scattering

J. L. Hewett·F. J. Petriello·T. G. Rizzo
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Abstract

We examine the unitarity properties of spontaneously broken non-commutative gauge theories. We find that the symmetry breaking mechanism in the non-commutative Standard Model of Chaichian et al. leads to an unavoidable violation of tree-level unitarity in gauge boson scattering at high energies. We then study a variety of simplified spontaneously broken non-commutative theories and isolate the source of this unitarity violation. Given the group theoretic restrictions endemic to non-commutative model building, we conclude that it is difficult to build a non-commutative Standard Model under the Weyl-Moyal approach that preserves unitarity.

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J. L. Hewett, F. J. Petriello, T. G. Rizzo. 2001-12-01. Non-Commutativity and Unitarity Violation in Gauge Boson Scattering. https://doi.org/10.1103/physrevd.66.036001

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