Weyl-Invariant Quantization of Liouville Field Theory

Details Weyl-Invariant Quantization of Liouville Field Theory Weyl-Invariant Quantization of Liouville Field Theory

1996-12-14

arxiv.org/abs/hep-th/9612158v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex

Scientific paper

Liouville field theory is quantized by means of a Wilsonian effective action and its associated exact renormalization group equation. For $c<1$, an approximate solution of this equation is obtained by truncating the space of all action functionals. The Ward identities resulting from the Weyl invariance of the theory are used in order to select a specific universality class for the renormalization group trajectory. It is found to connect two conformal field theories with central charges $25-c$ and $26-c$, respectively.

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