Geometrical Properties of Conformal Field Theories Coupled to Two-Dimensional Quantum Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, TeX, no figures

Scientific paper

10.1142/S0217751X96000997

In this work we discuss an approach due to F. David to the geometry of world sheets of non-critical strings in quasiclassical approximation. The gravitational dressed conformal dimension is related to the scaling behavior of the two-point function with respect to a distance variable. We show how this approach reproduces the standard gravitational dressing in the next order of perturbation theory. With the same technique we calculate the intrinsic Hausdorff dimension of a world sheet.

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