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

29So we arrive at an identity( ) 1〈Tr TrM − z( 1M − z)〉 + 〈 NV ′ (M)M − z 〉 = 0In the large N limit, one can factorize( ) ( )11〈Tr 〉〈Tr 〉 + 〈 NV ′ (M)M − z M − z M − z 〉 = 0Schwinger-Dyson equation. A little rewriting:( ) ( )11〈Tr 〉〈Tr 〉 + NV ′ 1′(z)〈M − z M − zM − z 〉 = −〈NV (M) − NV ′ (z)〉M − z= N 2 f(z), Polynomial order p − 2