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Gauge theories on noncommutative spaces. (English) Zbl 1031.81064

Grigoryan, A. (ed.) et al., XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17-22, 2000. Boston, MA: International Press. 461-466 (2001).
Summary: The author reviews his results about noncommutative gauge theories and about the relation of these theories to M(atrix) theory following his lecture on ICMP 2000 [International Press, 123-142 (2001; Zbl 1031.81064)].
For the entire collection see [Zbl 0994.00023].

MSC:

81T75 Noncommutative geometry methods in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
81R60 Noncommutative geometry in quantum theory
58B34 Noncommutative geometry (à la Connes)
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory

Citations:

Zbl 1031.81064