Circumventing the No-Go Theorem in Noncommutative Gauge Field Theory

Abstract

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 $U_{\ast }(N)$ factors. This as well allows representations other than the ones permitted by the no-go theorem.

arXiv comment13 pages

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Cited by in corpus (6)

• Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
• Can Seiberg-Witten Map Bypass Noncommutative Gauge Theory No-Go Theorem?
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Symmetries in noncommutative field theories: Hopf versus Lie
• Space-Time Diffeomorphisms in Noncommutative Gauge Theories
• Wilson loop in 2d noncommutative gauge theories