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Strong, Electroweak Interactions and Their Unification with Noncommutative Space-time
Quantum field theories based on noncommutative space-time (NCQFT) have been
extensively studied recently. However no NCQFT model, which can uniquely
describe the strong and electroweak interactions, has been constructed. This
prevents consistent and systematic study of noncommutative space-time. In this
work we construct a NCQFT model based on the trinification gauge group
. A unique feature of this model, that all
matter fields (fermions and Higgses) are assigned to (anti-)fundamental
representations of the factor SU(3) groups, allows us to construct a NCQFT
model for strong and electroweak interactions and their unification without
ambiguities. This model provides an example which allows consistent and
systematic study of noncommutative space-time phenomenology. We also comment on
some related issues regarding extensions to and models.Comment: 12 pages, Revtex, no figures. Version to be published in ERJ
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