Tachyon correlation functions in perturbative string theory

This work presents an analytical calculation of tachyon correlation functions in the non-critical string theory where the Liouville fields are important. The calculations are performed at large negative target space dimension D where there exists a perturbative expansion, and in the framework of the full Liouville theory where the curved measure for the Liouville field plays an important role, rather than in the effective theory. The correlation functions are obtained for any genus of the Riemann surface at one-loop order.