Definition of "nonabelian" [nonabelian]

• Not abelian. (adjective)

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• "All this still works when we add charged matter and/or go to the nonabelian theory, but the formula for G changes."
• "And constructing 4d nonabelian gauge theory rigorously is thought to be a very hard problem; you can get a million dollars from the Clay Foundation if you solve it."
• "The problem with trying to find a rigorous mathematical construction of quantum field theory (in four dimensions) is that there is considerable evidence that such a construction does not exist: with the exception of nonabelian gauge theories, all 4d quantum field theories are believed to be “trivial”, that is, they become free-field theories in the limit that the cutoff is removed."