2-POINT AND 3-POINT FUNCTIONS IN THE D = 1 MATRIX MODEL

The critical behavior of the genus-zero two-point function in the D = 1 matrix model is carefully analyzed for arbitrary embedding-space momentum. Kostov's result is recovered for momenta below a certain value P0 (which is 1/square-root-alpha' in the continuum language), with a non-universal form factor which is expressed simply in terms of the critical fermion trajectory. For momenta above P0, the Kostov scaling term is found to be subdominant. We then extend the large-N WKB treatment to calculate the genus-zero three-point function, and elucidate its critical behavior when all momenta are below P0. The resulting universal scaling behavior, its well as the non-university form factor for the three-point function, are related to the two-point functions of the individual external momenta, through the factorization familiar from continuum conformal field theories.