Introduction to Matrix Models and Non-Critical String Theory Akikazu ...

39Double Scaling LimitIf one also compute 1/N corrections,F ∼ ∑ ∑N χ n (Γ−2)χ/2−1 (g/g c ) n ∼ (g c − g) (2−Γ)χ/2 N χχ nso scale g → g c keepingκ = (g c − g) (2−Γ)/2 N = fixedThenF = κ 2 F (0) + F (1) + κ −2 F (2) + ...