Quantum Aspects of GMS Solutions of Noncommutative Field

We investigate quantum aspects of Gopakumar-Minwalla-Strominger (GMS) solutions of noncommutative field theory (NCFT) at large noncommutativity limit, θ → ∞. Building up quantitative Weyl-Moyal 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 appropriate joint scaling of θ and N . For ’t Hooft’s planar 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 recently studied infrared effects in NCFTs. We estimate U(N) symmetry breaking gradient effects and argue that they are suppressed only at small ’tHooft coupling regime.