Light-Cone Quantization of the c=2 Matrix Model

الأصل · EN

We study the large N limit of an interacting matrix field theory, whose perturbative expansion generates the sum over planar random graphs embedded in two dimensions. In the quantization the theory possesses closed string excitations which become free as N→∞. If the longitudinal momenta are discretized, then the calculation of the free string spectrum reduces to finite matrix diagonalization, the size of the matrix growing as the cut-off is removed. Our numerical results suggest that, for a critical coupling, the string spectrum becomes continuous. This would indicate the massless dynamics of the Liouville mode of gravity, which would constitute a third dimension of the string theory.