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Tachyon correlation functions in perturbative string theory
Affiliation:1. Joint Institute for Nuclear Research, 141980 Dubna, Russia;2. Institute of Nuclear Physics, AS RUz, 100214 Tashkent, Uzbekistan;3. New Uzbekistan University, 100007 Tashkent, Uzbekistan;4. School of Engineering, Akfa University, 111221 Tashkent, Uzbekistan;5. National University of Uzbekistan, 100174 Tashkent, Uzbekistan;1. Departamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Casilla 7-D, Arica, Chile;2. National Observatory of Athens, Lofos Nymfon, 11852 Athens, Greece;3. CAS Key Laboratory for Research in Galaxies and Cosmology, University of Science and Technology of China, Hefei, Anhui 230026, China;4. Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280 Antofagasta, Chile
Abstract: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.
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