264 citations · 1.9k across the 41 of their papers we have counts for
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Matrix Models on the Fuzzy Sphere and their Continuum Limits
Brian P. Dolan, Denjoe O'Connor, P. Presnajder
We demonstrate that the UV/IR mixing problems found recently for a scalar theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modif…
Noncommutative Gauge Field Theories: A No-Go Theorem
M. Chaichian, P. Prešnajder, M. M. Sheikh-Jabbari +1
Studying the general structure of the noncommutative (NC) local groups, we prove a no-go theorem for NC gauge theories. According to this theorem, the closure condition of the gaug…
Noncommutative Standard Model: Model Building
M. Chaichian, P. Presnajder, M. M. Sheikh-Jabbari +1
A noncommutative version of the usual electro-weak theory is constructed. We discuss how to overcome the two major problems: 1) although we can have noncommutative U(n) (which we d…
Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
M. Chaichian, A. Demichev, P. Presnajder +2
After discussing the peculiarities of quantum systems on noncommutative (NC) spaces with non-trivial topology and the operator representation of the -product on them, we con…