Quantum Aspects of GMS Solutions of Noncommutative Field Theory and Large N Limit of Matrix Models ∗

We investigate quantum aspects of Gopakumar-Minwalla-Strominger (GMS) solutions of noncommutative field theory (NCFT) at large noncommutativity limit, θ → ∞. Building upon a quantitative map between operator formulation of 2(respectively, (2+1)-) dimensional NCFTs and large N matrix models of c = 0 (respectively, c = 1) noncritical strings, we show that GMS solutions are quantum mechanically sensible only if we make an appropriate joint scaling of θ and N . For ’t Hooft’s scaling, GMS solutions are replaced by large N saddle-point solutions. GMS solutions are recovered from saddle-point solutions at small ’t Hooft coupling regime, but are destabilized at large ’tHooft coupling regime by quantum effects. We make comparisons between these large N effects and the recently studied infrared effects in NCFTs. We estimate the U(N) symmetry breaking effects of gradient term and argue that they are suppressed only at small ’t Hooft coupling regime.