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Non-commutative geometry
To Ho Hai va Ai Viet,
Recently, two American physicists Edward Witten va` Nathan Seiberg
wrote a paper with 100 pages (they did appologize for not writting
their paper shorter). Honestly, I have not had time to look at their
paper. However, I was told as follows:
Seiberg and Witten showed that it is possible to map non-commutative
Yang-Mills fields to ordinary ones by a transformation that maps one kind
of gauge invariance to the other and adds higher dimension terms to the
equations of motion.
So once you have a map, you don't need to study non-commutative geometry.
Cheers,
Tuan Aggies