Non-Perturbative Formulation of Non-Critical String Models

Details Non-Perturbative Formulation of Non-Critical String Models Non-Perturbative Formulation of Non-Critical String Models

2006-11-21

arxiv.org/abs/hep-th/0611228v1

JHEP 0703:060,2007

Physics

High Energy Physics

High Energy Physics - Theory

16 pages latex, 2 eps figures

Scientific paper

10.1088/1126-6708/2007/03/060

We apply to non-critical bosonic Liouville string models, characterized by a central-charge deficit Q, a new non-perturbative renormalization-group technique based on a functional method for controlling the quantum fluctuations. We demonstrate the existence of a renormalization-group fixed point of Liouville string theory as Q to 0, in which limit the target space-time is Minkowski and the dynamics of the Liouville field is trivial, as it neither propagates nor interacts. This calculation supports in a non-trival manner the identification of the zero mode of the Liouville field with the target time variable, up to a crucial minus sign.

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