Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-07
Eur.Phys.J.C24:495-514,2002
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, Latex, JHEP3.cls, 7 .eps figures v2. typos corrected, references added
Scientific paper
10.1007/s100520200939
We investigate quantum aspects of Gopakumar-Minwalla-Strominger (GMS) solutions of noncommutative field theory (NCFT) at large noncommutativity limit, $\theta \to \infty$. 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 appropriate joint scaling of $\theta$ 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 't Hooft coupling regime.
Mandal Gautam
Rey Soo-Jong
Wadia Spenta
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