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

80Hermite polynomial is an orthogonal polynomial forGaussian measuredet(Φ − x) = det ij(λ i−1j )∆(λ)= det ij(P i−1 (λ j ))∆(λ)where i = 1..(N + 1), λ N = x So∫ ∏〈det(Φ − x)〉 = dλ detij (λi−1 j )∆(λ)e − 2g 1 λ2 = P N (x)FZZT is probing the wavefunction of fermion at the topof fermi-surface