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Weyl-Invariant Quantization of Liouville Field Theory

High Energy Physics - Theory 2007-05-23 v1

Abstract

Liouville field theory is quantized by means of a Wilsonian effective action and its associated exact renormalization group equation. For c<1c<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 25c25-c and 26c26-c, respectively.

Keywords

Cite

@article{arxiv.hep-th/9612158,
  title  = {Weyl-Invariant Quantization of Liouville Field Theory},
  author = {M. Reuter},
  journal= {arXiv preprint arXiv:hep-th/9612158},
  year   = {2007}
}

Comments

11 pages, latex