Circumventing the No-Go Theorem in Noncommutative Gauge Field Theory

Details Circumventing the No-Go Theorem in Noncommutative Gauge Field Theory Circumventing the No-Go Theorem in Noncommutative Gauge Field Theory

2007-10-18

arxiv.org/abs/0710.3513v1

Phys.Lett.B661:210-215,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/j.physletb.2008.02.018

Stringent restrictions for model building are imposed by a no-go theorem in noncommutative gauge field theory. Circumventing this theorem is crucial for the construction of realistic models of particle interactions. To this end, the noncommutative construction of tensor representations of gauge groups using half-infinite Wilson lines is extended to allow for gauge groups consisting of an arbitrary number of $U_*(N)$ factors. This as well allows representations other than the ones permitted by the no-go theorem.

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