Reduced Models and Noncommutative Gauge Theories

Abstract

This is a short review of the relation between the Reduced Models and Noncommutative Yang-Mills Theories (NCYM) based on the work done in collaboration with J. Ambjorn, J. Nishimura and R. Szabo. Contents: 1.Twisted Eguchi-Kawai model (TEK), 2.Mapping onto NCYM, 3.Morita equivalence, 4.Fundamental matter, 5.Wilson loops in NCYM, 6.D-brane interpretation. Talk given at the 11th International Seminar "Quarks'2000", Pushkin, Russia, May 13-21, 2000 and the E.S.Fradkin Memorial Conference, Moscow, June 5-10, 2000.

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