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arXiv · hep-th/0611228

Non-Perturbative Formulation of Non-Critical String Models

Jean Alexandre·John Ellis·Nikolaos E. Mavromatos
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Abstract

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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Jean Alexandre, John Ellis, Nikolaos E. Mavromatos. 2006-11-21. Non-Perturbative Formulation of Non-Critical String Models. https://doi.org/10.1088/1126-6708%2F2007%2F03%2F060

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