Logarithmic Correlation Functions in Liouville Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, LaTeX, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(02)02702-8

We study four-point correlation functions with logarithmic behaviour in Liouville field theory on a sphere, which consist of one kind of the local operators. We study them as non-integrated correlation functions of the gravitational sector of two-dimensional quantum gravity coupled to an ordinary conformal field theory in the conformal gauge. We also examine, in the (p,q) minimal conformal field theories, a condition of the appearance of logarithmic correlation functions of gravitationally dressed operators.

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