Se p 20 06 The One - Plaquette Model Limit of NC Gauge Theory in

Abstract

It is found that noncommutative U (1) gauge field on the fuzzy sphere S 2 N is equivalent in the quantum theory to a commutative 2−dimensional U (N) gauge field on a lattice with two plaquettes in the axial gauge A 1 = 0. This quantum equivalence holds in the fuzzy sphere-weak coupling phase in the limit of infinite mass of the scalar normal component of… (More)

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