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Weyl-Invariant Quantization of Liouville Field Theory

1996/12/14 by M. Reuter, Reuter, M. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9612158

11 pages, latex

arxiv created 1996/12/14 · openalex publication_date 1996/12/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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