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The Lagrangian of the Liouville theory with topological defects is analyzedin detail and general solution of the corresponding defect equations of motionis found. We study the heavy and light semiclassical limits of the defecttwo-point function found before via the bootstrap program. We show that theheavy asymptotic limit is given by the exponential of the Liouville action withdefects, evaluated on the solutions with two singular points. We demonstratethat the light asymptotic limit is given by the finite dimensional pathintegral over solutions of the defect equations of motion with a vanishingenergy-momentum tensor.

On classical and semiclassical properties of the Liouville theory with defects