TY - JOUR

T1 - Light cone quantization of the c=2 matrix model

AU - Dalley, Simon

AU - Klebanov, Igor R.

PY - 1993/1/7

Y1 - 1993/1/7

N2 - We study the large N limit of an interacting two-dimensional matrix field theory, whose perturbative expansion generates the sum over planar random graphs embedded in two-dimensions. In the light cone 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 light cone string spectrum becomes continuous. This would indicate the massless dynamics of the Liouville mode of two-dimensional gravity, which would constitute a third dimension of the string theory.

AB - We study the large N limit of an interacting two-dimensional matrix field theory, whose perturbative expansion generates the sum over planar random graphs embedded in two-dimensions. In the light cone 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 light cone string spectrum becomes continuous. This would indicate the massless dynamics of the Liouville mode of two-dimensional gravity, which would constitute a third dimension of the string theory.

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U2 - 10.1016/0370-2693(93)91711-U

DO - 10.1016/0370-2693(93)91711-U

M3 - Article

AN - SCOPUS:0002920482

SN - 0370-2693

VL - 298

SP - 79

EP - 87

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -