Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach

Details Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach

2002-12-17

arxiv.org/abs/hep-th/0212194v4

Nucl.Phys. B658 (2003) 397-416

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 5 figures, harvmac, eqs. (2.11) and (5.11) corrected

Scientific paper

10.1016/S0550-3213(03)00147-0

We calculate a class of two-point boundary correlators in 2D quantum gravity using its microscopic realization as loop gas on a random surface. We find a perfect agreement with the two-point boundary correlation function in Liouville theory, obtained by V. Fateev, A. Zamolodchikov and Al. Zamolodchikov. We also give a geometrical meaning of the functional equation satisfied by this two-point function.

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