Path Integral over Reparametrizations: Levy Flights versus Random Walks. (arXiv:0911.1083v1 [hep-th])

We investigate the properties of the path integral over reparametrizations (=the boundary value of the Liouville field in open string theory). Discretizingthe path integral, we apply the Metropolis-Hastings algorithm to numericalsimulations of a proper (subordinator) stochastic process and find that » Full text »